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Finding the Fourth Proportional to 72.92, 109.36 and 24.16

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Solution

The fourth proportional to 72.92, 109.36 and 24.16 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.92 : 109.36 = 24.16 : x
  2. Step 2: Convert to fraction form
    72.92/109.36 = 24.16/x
  3. Step 3: Cross multiply
    72.92x = 109.36 × 24.16
  4. Step 4: Simplify right side
    72.92x = 2,642.14
  5. Step 5: Solve for x
    x = 2,642.14/72.92
  6. Step 6: Final answer
    x = 36.23

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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.