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Finding the Fourth Proportional to 39.18, 54.03 and 29.94

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Solution

The fourth proportional to 39.18, 54.03 and 29.94 is: 41.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.18 : 54.03 = 29.94 : x
  2. Step 2: Convert to fraction form
    39.18/54.03 = 29.94/x
  3. Step 3: Cross multiply
    39.18x = 54.03 × 29.94
  4. Step 4: Simplify right side
    39.18x = 1,617.57
  5. Step 5: Solve for x
    x = 1,617.57/39.18
  6. Step 6: Final answer
    x = 41.28

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Why These Related Problems?

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