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Finding the Fourth Proportional to 112.49, 168.48 and 85.16

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Solution

The fourth proportional to 112.49, 168.48 and 85.16 is: 127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 168.48 = 85.16 : x
  2. Step 2: Convert to fraction form
    112.49/168.48 = 85.16/x
  3. Step 3: Cross multiply
    112.49x = 168.48 × 85.16
  4. Step 4: Simplify right side
    112.49x = 14,347.76
  5. Step 5: Solve for x
    x = 14,347.76/112.49
  6. Step 6: Final answer
    x = 127.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.