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Finding the Fourth Proportional to 122.16, 183.14 and 49.97

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Solution

The fourth proportional to 122.16, 183.14 and 49.97 is: 74.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 183.14 = 49.97 : x
  2. Step 2: Convert to fraction form
    122.16/183.14 = 49.97/x
  3. Step 3: Cross multiply
    122.16x = 183.14 × 49.97
  4. Step 4: Simplify right side
    122.16x = 9,151.71
  5. Step 5: Solve for x
    x = 9,151.71/122.16
  6. Step 6: Final answer
    x = 74.92

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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.