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Finding the Fourth Proportional to 112.51, 168.72 and 64.45

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Solution

The fourth proportional to 112.51, 168.72 and 64.45 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.51 : 168.72 = 64.45 : x
  2. Step 2: Convert to fraction form
    112.51/168.72 = 64.45/x
  3. Step 3: Cross multiply
    112.51x = 168.72 × 64.45
  4. Step 4: Simplify right side
    112.51x = 10,874.00
  5. Step 5: Solve for x
    x = 10,874.00/112.51
  6. Step 6: Final answer
    x = 96.65

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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.