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Finding the Fourth Proportional to 40.22, 60.24 and 31.18

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Solution

The fourth proportional to 40.22, 60.24 and 31.18 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.22 : 60.24 = 31.18 : x
  2. Step 2: Convert to fraction form
    40.22/60.24 = 31.18/x
  3. Step 3: Cross multiply
    40.22x = 60.24 × 31.18
  4. Step 4: Simplify right side
    40.22x = 1,878.28
  5. Step 5: Solve for x
    x = 1,878.28/40.22
  6. Step 6: Final answer
    x = 46.70

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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.