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Finding the Fourth Proportional to 31.47, 47.19 and 11.17

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Solution

The fourth proportional to 31.47, 47.19 and 11.17 is: 16.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.47 : 47.19 = 11.17 : x
  2. Step 2: Convert to fraction form
    31.47/47.19 = 11.17/x
  3. Step 3: Cross multiply
    31.47x = 47.19 × 11.17
  4. Step 4: Simplify right side
    31.47x = 527.20
  5. Step 5: Solve for x
    x = 527.20/31.47
  6. Step 6: Final answer
    x = 16.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.