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Finding the Fourth Proportional to 87.50, 130.94 and 72.92

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Solution

The fourth proportional to 87.50, 130.94 and 72.92 is: 109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.50 : 130.94 = 72.92 : x
  2. Step 2: Convert to fraction form
    87.50/130.94 = 72.92/x
  3. Step 3: Cross multiply
    87.50x = 130.94 × 72.92
  4. Step 4: Simplify right side
    87.50x = 9,548.00
  5. Step 5: Solve for x
    x = 9,548.00/87.50
  6. Step 6: Final answer
    x = 109.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.