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Finding the Fourth Proportional to 184.13, 254.11 and 101.24

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Solution

The fourth proportional to 184.13, 254.11 and 101.24 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 254.11 = 101.24 : x
  2. Step 2: Convert to fraction form
    184.13/254.11 = 101.24/x
  3. Step 3: Cross multiply
    184.13x = 254.11 × 101.24
  4. Step 4: Simplify right side
    184.13x = 25,724.95
  5. Step 5: Solve for x
    x = 25,724.95/184.13
  6. Step 6: Final answer
    x = 139.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.