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Finding the Fourth Proportional to 31.58, 47.31 and 22.43

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Solution

The fourth proportional to 31.58, 47.31 and 22.43 is: 33.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.58 : 47.31 = 22.43 : x
  2. Step 2: Convert to fraction form
    31.58/47.31 = 22.43/x
  3. Step 3: Cross multiply
    31.58x = 47.31 × 22.43
  4. Step 4: Simplify right side
    31.58x = 1,060.93
  5. Step 5: Solve for x
    x = 1,060.93/31.58
  6. Step 6: Final answer
    x = 33.60

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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.