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Finding the Fourth Proportional to 87.65, 120.94 and 60.08

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Solution

The fourth proportional to 87.65, 120.94 and 60.08 is: 82.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.65 : 120.94 = 60.08 : x
  2. Step 2: Convert to fraction form
    87.65/120.94 = 60.08/x
  3. Step 3: Cross multiply
    87.65x = 120.94 × 60.08
  4. Step 4: Simplify right side
    87.65x = 7,266.23
  5. Step 5: Solve for x
    x = 7,266.23/87.65
  6. Step 6: Final answer
    x = 82.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.