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Finding the Fourth Proportional to 32.54, 44.97 and 29.24

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Solution

The fourth proportional to 32.54, 44.97 and 29.24 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.54 : 44.97 = 29.24 : x
  2. Step 2: Convert to fraction form
    32.54/44.97 = 29.24/x
  3. Step 3: Cross multiply
    32.54x = 44.97 × 29.24
  4. Step 4: Simplify right side
    32.54x = 1,314.92
  5. Step 5: Solve for x
    x = 1,314.92/32.54
  6. Step 6: Final answer
    x = 40.41

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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.