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Finding the Fourth Proportional to 40.46, 55.89 and 38.98

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Solution

The fourth proportional to 40.46, 55.89 and 38.98 is: 53.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.46 : 55.89 = 38.98 : x
  2. Step 2: Convert to fraction form
    40.46/55.89 = 38.98/x
  3. Step 3: Cross multiply
    40.46x = 55.89 × 38.98
  4. Step 4: Simplify right side
    40.46x = 2,178.59
  5. Step 5: Solve for x
    x = 2,178.59/40.46
  6. Step 6: Final answer
    x = 53.85

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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.