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Finding the Fourth Proportional to 71.23, 106.81 and 32.71

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Solution

The fourth proportional to 71.23, 106.81 and 32.71 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.23 : 106.81 = 32.71 : x
  2. Step 2: Convert to fraction form
    71.23/106.81 = 32.71/x
  3. Step 3: Cross multiply
    71.23x = 106.81 × 32.71
  4. Step 4: Simplify right side
    71.23x = 3,493.41
  5. Step 5: Solve for x
    x = 3,493.41/71.23
  6. Step 6: Final answer
    x = 49.05

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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.