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Finding the Fourth Proportional to 123.91, 185.94 and 101.12

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Solution

The fourth proportional to 123.91, 185.94 and 101.12 is: 151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 185.94 = 101.12 : x
  2. Step 2: Convert to fraction form
    123.91/185.94 = 101.12/x
  3. Step 3: Cross multiply
    123.91x = 185.94 × 101.12
  4. Step 4: Simplify right side
    123.91x = 18,801.32
  5. Step 5: Solve for x
    x = 18,801.32/123.91
  6. Step 6: Final answer
    x = 151.74

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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.