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Finding the Fourth Proportional to 47.71, 65.80 and 32.15

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Solution

The fourth proportional to 47.71, 65.80 and 32.15 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 65.80 = 32.15 : x
  2. Step 2: Convert to fraction form
    47.71/65.80 = 32.15/x
  3. Step 3: Cross multiply
    47.71x = 65.80 × 32.15
  4. Step 4: Simplify right side
    47.71x = 2,115.12
  5. Step 5: Solve for x
    x = 2,115.12/47.71
  6. Step 6: Final answer
    x = 44.34

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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.