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Finding the Fourth Proportional to 87.58, 130.31 and 83.84

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Solution

The fourth proportional to 87.58, 130.31 and 83.84 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.58 : 130.31 = 83.84 : x
  2. Step 2: Convert to fraction form
    87.58/130.31 = 83.84/x
  3. Step 3: Cross multiply
    87.58x = 130.31 × 83.84
  4. Step 4: Simplify right side
    87.58x = 10,924.43
  5. Step 5: Solve for x
    x = 10,924.43/87.58
  6. Step 6: Final answer
    x = 124.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.