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Finding the Fourth Proportional to 40.71, 55.88 and 38.95

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Solution

The fourth proportional to 40.71, 55.88 and 38.95 is: 53.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.71 : 55.88 = 38.95 : x
  2. Step 2: Convert to fraction form
    40.71/55.88 = 38.95/x
  3. Step 3: Cross multiply
    40.71x = 55.88 × 38.95
  4. Step 4: Simplify right side
    40.71x = 2,176.53
  5. Step 5: Solve for x
    x = 2,176.53/40.71
  6. Step 6: Final answer
    x = 53.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.