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Finding the Fourth Proportional to 72.92, 109.24 and 42.47

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Solution

The fourth proportional to 72.92, 109.24 and 42.47 is: 63.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.92 : 109.24 = 42.47 : x
  2. Step 2: Convert to fraction form
    72.92/109.24 = 42.47/x
  3. Step 3: Cross multiply
    72.92x = 109.24 × 42.47
  4. Step 4: Simplify right side
    72.92x = 4,639.59
  5. Step 5: Solve for x
    x = 4,639.59/72.92
  6. Step 6: Final answer
    x = 63.63

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