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Finding the Fourth Proportional to 39.10, 53.88 and 29.86

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Solution

The fourth proportional to 39.10, 53.88 and 29.86 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.10 : 53.88 = 29.86 : x
  2. Step 2: Convert to fraction form
    39.10/53.88 = 29.86/x
  3. Step 3: Cross multiply
    39.10x = 53.88 × 29.86
  4. Step 4: Simplify right side
    39.10x = 1,608.86
  5. Step 5: Solve for x
    x = 1,608.86/39.10
  6. Step 6: Final answer
    x = 41.15

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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.