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Finding the Fourth Proportional to 87.51, 130.65 and 77.19

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Solution

The fourth proportional to 87.51, 130.65 and 77.19 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.51 : 130.65 = 77.19 : x
  2. Step 2: Convert to fraction form
    87.51/130.65 = 77.19/x
  3. Step 3: Cross multiply
    87.51x = 130.65 × 77.19
  4. Step 4: Simplify right side
    87.51x = 10,084.87
  5. Step 5: Solve for x
    x = 10,084.87/87.51
  6. Step 6: Final answer
    x = 115.24

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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.