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Finding the Fourth Proportional to 44.32, 61.23 and 32.71

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Solution

The fourth proportional to 44.32, 61.23 and 32.71 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.32 : 61.23 = 32.71 : x
  2. Step 2: Convert to fraction form
    44.32/61.23 = 32.71/x
  3. Step 3: Cross multiply
    44.32x = 61.23 × 32.71
  4. Step 4: Simplify right side
    44.32x = 2,002.83
  5. Step 5: Solve for x
    x = 2,002.83/44.32
  6. Step 6: Final answer
    x = 45.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.