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Finding the Fourth Proportional to 49.28, 73.90 and 20.76

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Solution

The fourth proportional to 49.28, 73.90 and 20.76 is: 31.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.28 : 73.90 = 20.76 : x
  2. Step 2: Convert to fraction form
    49.28/73.90 = 20.76/x
  3. Step 3: Cross multiply
    49.28x = 73.90 × 20.76
  4. Step 4: Simplify right side
    49.28x = 1,534.16
  5. Step 5: Solve for x
    x = 1,534.16/49.28
  6. Step 6: Final answer
    x = 31.13

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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.