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Finding the Fourth Proportional to 87.85, 130.89 and 83.19

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Solution

The fourth proportional to 87.85, 130.89 and 83.19 is: 123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.85 : 130.89 = 83.19 : x
  2. Step 2: Convert to fraction form
    87.85/130.89 = 83.19/x
  3. Step 3: Cross multiply
    87.85x = 130.89 × 83.19
  4. Step 4: Simplify right side
    87.85x = 10,888.32
  5. Step 5: Solve for x
    x = 10,888.32/87.85
  6. Step 6: Final answer
    x = 123.95

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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.