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Finding the Fourth Proportional to 31.59, 47.34 and 20.15

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Solution

The fourth proportional to 31.59, 47.34 and 20.15 is: 30.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.59 : 47.34 = 20.15 : x
  2. Step 2: Convert to fraction form
    31.59/47.34 = 20.15/x
  3. Step 3: Cross multiply
    31.59x = 47.34 × 20.15
  4. Step 4: Simplify right side
    31.59x = 953.66
  5. Step 5: Solve for x
    x = 953.66/31.59
  6. Step 6: Final answer
    x = 30.19

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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.