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Finding the Fourth Proportional to 122.17, 183.13 and 53.68

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Solution

The fourth proportional to 122.17, 183.13 and 53.68 is: 80.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.17 : 183.13 = 53.68 : x
  2. Step 2: Convert to fraction form
    122.17/183.13 = 53.68/x
  3. Step 3: Cross multiply
    122.17x = 183.13 × 53.68
  4. Step 4: Simplify right side
    122.17x = 9,830.42
  5. Step 5: Solve for x
    x = 9,830.42/122.17
  6. Step 6: Final answer
    x = 80.47

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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.