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Finding the Fourth Proportional to 86.71, 130.05 and 32.58

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Solution

The fourth proportional to 86.71, 130.05 and 32.58 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.71 : 130.05 = 32.58 : x
  2. Step 2: Convert to fraction form
    86.71/130.05 = 32.58/x
  3. Step 3: Cross multiply
    86.71x = 130.05 × 32.58
  4. Step 4: Simplify right side
    86.71x = 4,236.54
  5. Step 5: Solve for x
    x = 4,236.54/86.71
  6. Step 6: Final answer
    x = 48.86

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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.