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Finding the Fourth Proportional to 39.98, 55.03 and 34.77

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Solution

The fourth proportional to 39.98, 55.03 and 34.77 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.98 : 55.03 = 34.77 : x
  2. Step 2: Convert to fraction form
    39.98/55.03 = 34.77/x
  3. Step 3: Cross multiply
    39.98x = 55.03 × 34.77
  4. Step 4: Simplify right side
    39.98x = 1,913.53
  5. Step 5: Solve for x
    x = 1,913.53/39.98
  6. Step 6: Final answer
    x = 47.87

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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.