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Finding the Fourth Proportional to 123.20, 183.88 and 114.74

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Solution

The fourth proportional to 123.20, 183.88 and 114.74 is: 171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.20 : 183.88 = 114.74 : x
  2. Step 2: Convert to fraction form
    123.20/183.88 = 114.74/x
  3. Step 3: Cross multiply
    123.20x = 183.88 × 114.74
  4. Step 4: Simplify right side
    123.20x = 21,098.39
  5. Step 5: Solve for x
    x = 21,098.39/123.20
  6. Step 6: Final answer
    x = 171.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.