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Finding the Fourth Proportional to 87.46, 131.04 and 78.05

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Solution

The fourth proportional to 87.46, 131.04 and 78.05 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.46 : 131.04 = 78.05 : x
  2. Step 2: Convert to fraction form
    87.46/131.04 = 78.05/x
  3. Step 3: Cross multiply
    87.46x = 131.04 × 78.05
  4. Step 4: Simplify right side
    87.46x = 10,227.02
  5. Step 5: Solve for x
    x = 10,227.02/87.46
  6. Step 6: Final answer
    x = 116.93

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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.