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Finding the Fourth Proportional to 43.24, 59.46 and 38.53

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Solution

The fourth proportional to 43.24, 59.46 and 38.53 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 59.46 = 38.53 : x
  2. Step 2: Convert to fraction form
    43.24/59.46 = 38.53/x
  3. Step 3: Cross multiply
    43.24x = 59.46 × 38.53
  4. Step 4: Simplify right side
    43.24x = 2,290.80
  5. Step 5: Solve for x
    x = 2,290.80/43.24
  6. Step 6: Final answer
    x = 52.98

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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.