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Finding the Fourth Proportional to 73.92, 102.16 and 57.52

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Solution

The fourth proportional to 73.92, 102.16 and 57.52 is: 79.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.92 : 102.16 = 57.52 : x
  2. Step 2: Convert to fraction form
    73.92/102.16 = 57.52/x
  3. Step 3: Cross multiply
    73.92x = 102.16 × 57.52
  4. Step 4: Simplify right side
    73.92x = 5,876.24
  5. Step 5: Solve for x
    x = 5,876.24/73.92
  6. Step 6: Final answer
    x = 79.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.