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Finding the Fourth Proportional to 105.71, 145.76 and 87.17

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Solution

The fourth proportional to 105.71, 145.76 and 87.17 is: 120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 145.76 = 87.17 : x
  2. Step 2: Convert to fraction form
    105.71/145.76 = 87.17/x
  3. Step 3: Cross multiply
    105.71x = 145.76 × 87.17
  4. Step 4: Simplify right side
    105.71x = 12,704.73
  5. Step 5: Solve for x
    x = 12,704.73/105.71
  6. Step 6: Final answer
    x = 120.19

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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.