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Finding the Fourth Proportional to 49.92, 75.22 and 48.70

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Solution

The fourth proportional to 49.92, 75.22 and 48.70 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 75.22 = 48.70 : x
  2. Step 2: Convert to fraction form
    49.92/75.22 = 48.70/x
  3. Step 3: Cross multiply
    49.92x = 75.22 × 48.70
  4. Step 4: Simplify right side
    49.92x = 3,663.21
  5. Step 5: Solve for x
    x = 3,663.21/49.92
  6. Step 6: Final answer
    x = 73.38

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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.