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Finding the Fourth Proportional to 31.24, 43.01 and 29.20

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Solution

The fourth proportional to 31.24, 43.01 and 29.20 is: 40.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 43.01 = 29.20 : x
  2. Step 2: Convert to fraction form
    31.24/43.01 = 29.20/x
  3. Step 3: Cross multiply
    31.24x = 43.01 × 29.20
  4. Step 4: Simplify right side
    31.24x = 1,255.89
  5. Step 5: Solve for x
    x = 1,255.89/31.24
  6. Step 6: Final answer
    x = 40.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.