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Finding the Fourth Proportional to 49.40, 74.20 and 43.53

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Solution

The fourth proportional to 49.40, 74.20 and 43.53 is: 65.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 74.20 = 43.53 : x
  2. Step 2: Convert to fraction form
    49.40/74.20 = 43.53/x
  3. Step 3: Cross multiply
    49.40x = 74.20 × 43.53
  4. Step 4: Simplify right side
    49.40x = 3,229.93
  5. Step 5: Solve for x
    x = 3,229.93/49.40
  6. Step 6: Final answer
    x = 65.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.