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Finding the Fourth Proportional to 49.72, 75.03 and 48.20

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Solution

The fourth proportional to 49.72, 75.03 and 48.20 is: 72.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.72 : 75.03 = 48.20 : x
  2. Step 2: Convert to fraction form
    49.72/75.03 = 48.20/x
  3. Step 3: Cross multiply
    49.72x = 75.03 × 48.20
  4. Step 4: Simplify right side
    49.72x = 3,616.45
  5. Step 5: Solve for x
    x = 3,616.45/49.72
  6. Step 6: Final answer
    x = 72.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.