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Finding the Fourth Proportional to 32.26, 44.24 and 31.18

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Solution

The fourth proportional to 32.26, 44.24 and 31.18 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.26 : 44.24 = 31.18 : x
  2. Step 2: Convert to fraction form
    32.26/44.24 = 31.18/x
  3. Step 3: Cross multiply
    32.26x = 44.24 × 31.18
  4. Step 4: Simplify right side
    32.26x = 1,379.40
  5. Step 5: Solve for x
    x = 1,379.40/32.26
  6. Step 6: Final answer
    x = 42.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.