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Finding the Fourth Proportional to 31.72, 47.54 and 13.45

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Solution

The fourth proportional to 31.72, 47.54 and 13.45 is: 20.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.72 : 47.54 = 13.45 : x
  2. Step 2: Convert to fraction form
    31.72/47.54 = 13.45/x
  3. Step 3: Cross multiply
    31.72x = 47.54 × 13.45
  4. Step 4: Simplify right side
    31.72x = 639.14
  5. Step 5: Solve for x
    x = 639.14/31.72
  6. Step 6: Final answer
    x = 20.15

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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.