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Finding the Fourth Proportional to 47.72, 71.59 and 13.02

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Solution

The fourth proportional to 47.72, 71.59 and 13.02 is: 19.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 71.59 = 13.02 : x
  2. Step 2: Convert to fraction form
    47.72/71.59 = 13.02/x
  3. Step 3: Cross multiply
    47.72x = 71.59 × 13.02
  4. Step 4: Simplify right side
    47.72x = 932.06
  5. Step 5: Solve for x
    x = 932.06/47.72
  6. Step 6: Final answer
    x = 19.53

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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.