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Finding the Fourth Proportional to 31.61, 47.38 and 22.59

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Solution

The fourth proportional to 31.61, 47.38 and 22.59 is: 33.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.61 : 47.38 = 22.59 : x
  2. Step 2: Convert to fraction form
    31.61/47.38 = 22.59/x
  3. Step 3: Cross multiply
    31.61x = 47.38 × 22.59
  4. Step 4: Simplify right side
    31.61x = 1,070.31
  5. Step 5: Solve for x
    x = 1,070.31/31.61
  6. Step 6: Final answer
    x = 33.86

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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.