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Finding the Fourth Proportional to 86.78, 130.12 and 32.62

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Solution

The fourth proportional to 86.78, 130.12 and 32.62 is: 48.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.78 : 130.12 = 32.62 : x
  2. Step 2: Convert to fraction form
    86.78/130.12 = 32.62/x
  3. Step 3: Cross multiply
    86.78x = 130.12 × 32.62
  4. Step 4: Simplify right side
    86.78x = 4,243.78
  5. Step 5: Solve for x
    x = 4,243.78/86.78
  6. Step 6: Final answer
    x = 48.90

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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.