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Finding the Fourth Proportional to 99.71, 137.72 and 77.85

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Solution

The fourth proportional to 99.71, 137.72 and 77.85 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.71 : 137.72 = 77.85 : x
  2. Step 2: Convert to fraction form
    99.71/137.72 = 77.85/x
  3. Step 3: Cross multiply
    99.71x = 137.72 × 77.85
  4. Step 4: Simplify right side
    99.71x = 10,721.11
  5. Step 5: Solve for x
    x = 10,721.11/99.71
  6. Step 6: Final answer
    x = 107.52

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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.