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Finding the Fourth Proportional to 71.97, 99.33 and 42.87

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Solution

The fourth proportional to 71.97, 99.33 and 42.87 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.97 : 99.33 = 42.87 : x
  2. Step 2: Convert to fraction form
    71.97/99.33 = 42.87/x
  3. Step 3: Cross multiply
    71.97x = 99.33 × 42.87
  4. Step 4: Simplify right side
    71.97x = 4,258.28
  5. Step 5: Solve for x
    x = 4,258.28/71.97
  6. Step 6: Final answer
    x = 59.17

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