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Finding the Fourth Proportional to 47.72, 71.61 and 24.91

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Solution

The fourth proportional to 47.72, 71.61 and 24.91 is: 37.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 71.61 = 24.91 : x
  2. Step 2: Convert to fraction form
    47.72/71.61 = 24.91/x
  3. Step 3: Cross multiply
    47.72x = 71.61 × 24.91
  4. Step 4: Simplify right side
    47.72x = 1,783.32
  5. Step 5: Solve for x
    x = 1,783.32/47.72
  6. Step 6: Final answer
    x = 37.37

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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.