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Finding the Fourth Proportional to 71.76, 108.07 and 60.42

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Solution

The fourth proportional to 71.76, 108.07 and 60.42 is: 90.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 108.07 = 60.42 : x
  2. Step 2: Convert to fraction form
    71.76/108.07 = 60.42/x
  3. Step 3: Cross multiply
    71.76x = 108.07 × 60.42
  4. Step 4: Simplify right side
    71.76x = 6,529.29
  5. Step 5: Solve for x
    x = 6,529.29/71.76
  6. Step 6: Final answer
    x = 90.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.