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Finding the Fourth Proportional to 49.47, 74.12 and 43.66

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Solution

The fourth proportional to 49.47, 74.12 and 43.66 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.47 : 74.12 = 43.66 : x
  2. Step 2: Convert to fraction form
    49.47/74.12 = 43.66/x
  3. Step 3: Cross multiply
    49.47x = 74.12 × 43.66
  4. Step 4: Simplify right side
    49.47x = 3,236.16
  5. Step 5: Solve for x
    x = 3,236.16/49.47
  6. Step 6: Final answer
    x = 65.41

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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.