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Finding the Fourth Proportional to 49.07, 73.44 and 38.17

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Solution

The fourth proportional to 49.07, 73.44 and 38.17 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.07 : 73.44 = 38.17 : x
  2. Step 2: Convert to fraction form
    49.07/73.44 = 38.17/x
  3. Step 3: Cross multiply
    49.07x = 73.44 × 38.17
  4. Step 4: Simplify right side
    49.07x = 2,803.30
  5. Step 5: Solve for x
    x = 2,803.30/49.07
  6. Step 6: Final answer
    x = 57.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.