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Finding the Fourth Proportional to 86.88, 130.24 and 32.78

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Solution

The fourth proportional to 86.88, 130.24 and 32.78 is: 49.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.88 : 130.24 = 32.78 : x
  2. Step 2: Convert to fraction form
    86.88/130.24 = 32.78/x
  3. Step 3: Cross multiply
    86.88x = 130.24 × 32.78
  4. Step 4: Simplify right side
    86.88x = 4,269.27
  5. Step 5: Solve for x
    x = 4,269.27/86.88
  6. Step 6: Final answer
    x = 49.14

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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.