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Finding the Fourth Proportional to 31.31, 42.61 and 31.18

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Solution

The fourth proportional to 31.31, 42.61 and 31.18 is: 42.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 42.61 = 31.18 : x
  2. Step 2: Convert to fraction form
    31.31/42.61 = 31.18/x
  3. Step 3: Cross multiply
    31.31x = 42.61 × 31.18
  4. Step 4: Simplify right side
    31.31x = 1,328.58
  5. Step 5: Solve for x
    x = 1,328.58/31.31
  6. Step 6: Final answer
    x = 42.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.