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Finding the Fourth Proportional to 87.25, 130.90 and 26.38

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Solution

The fourth proportional to 87.25, 130.90 and 26.38 is: 39.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.25 : 130.90 = 26.38 : x
  2. Step 2: Convert to fraction form
    87.25/130.90 = 26.38/x
  3. Step 3: Cross multiply
    87.25x = 130.90 × 26.38
  4. Step 4: Simplify right side
    87.25x = 3,452.63
  5. Step 5: Solve for x
    x = 3,452.63/87.25
  6. Step 6: Final answer
    x = 39.57

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