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Finding the Fourth Proportional to 31.61, 47.45 and 22.61

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Solution

The fourth proportional to 31.61, 47.45 and 22.61 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.61 : 47.45 = 22.61 : x
  2. Step 2: Convert to fraction form
    31.61/47.45 = 22.61/x
  3. Step 3: Cross multiply
    31.61x = 47.45 × 22.61
  4. Step 4: Simplify right side
    31.61x = 1,073.02
  5. Step 5: Solve for x
    x = 1,073.02/31.61
  6. Step 6: Final answer
    x = 33.94

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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.