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Finding the Fourth Proportional to 86.53, 129.81 and 32.41

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Solution

The fourth proportional to 86.53, 129.81 and 32.41 is: 48.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.53 : 129.81 = 32.41 : x
  2. Step 2: Convert to fraction form
    86.53/129.81 = 32.41/x
  3. Step 3: Cross multiply
    86.53x = 129.81 × 32.41
  4. Step 4: Simplify right side
    86.53x = 4,207.14
  5. Step 5: Solve for x
    x = 4,207.14/86.53
  6. Step 6: Final answer
    x = 48.62

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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.