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Finding the Fourth Proportional to 87.22, 130.78 and 56.80

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Solution

The fourth proportional to 87.22, 130.78 and 56.80 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.22 : 130.78 = 56.80 : x
  2. Step 2: Convert to fraction form
    87.22/130.78 = 56.80/x
  3. Step 3: Cross multiply
    87.22x = 130.78 × 56.80
  4. Step 4: Simplify right side
    87.22x = 7,428.30
  5. Step 5: Solve for x
    x = 7,428.30/87.22
  6. Step 6: Final answer
    x = 85.17

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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.