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Finding the Fourth Proportional to 87.40, 130.83 and 81.46

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Solution

The fourth proportional to 87.40, 130.83 and 81.46 is: 121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.40 : 130.83 = 81.46 : x
  2. Step 2: Convert to fraction form
    87.40/130.83 = 81.46/x
  3. Step 3: Cross multiply
    87.40x = 130.83 × 81.46
  4. Step 4: Simplify right side
    87.40x = 10,657.41
  5. Step 5: Solve for x
    x = 10,657.41/87.40
  6. Step 6: Final answer
    x = 121.94

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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.