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Finding the Fourth Proportional to 112.46, 167.84 and 100.16

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Solution

The fourth proportional to 112.46, 167.84 and 100.16 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 167.84 = 100.16 : x
  2. Step 2: Convert to fraction form
    112.46/167.84 = 100.16/x
  3. Step 3: Cross multiply
    112.46x = 167.84 × 100.16
  4. Step 4: Simplify right side
    112.46x = 16,809.51
  5. Step 5: Solve for x
    x = 16,809.51/112.46
  6. Step 6: Final answer
    x = 149.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.