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Finding the Fourth Proportional to 72.91, 109.16 and 72.57

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Solution

The fourth proportional to 72.91, 109.16 and 72.57 is: 108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.91 : 109.16 = 72.57 : x
  2. Step 2: Convert to fraction form
    72.91/109.16 = 72.57/x
  3. Step 3: Cross multiply
    72.91x = 109.16 × 72.57
  4. Step 4: Simplify right side
    72.91x = 7,921.74
  5. Step 5: Solve for x
    x = 7,921.74/72.91
  6. Step 6: Final answer
    x = 108.65

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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.