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Finding the Fourth Proportional to 149.39, 205.97 and 124.50

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Solution

The fourth proportional to 149.39, 205.97 and 124.50 is: 171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.39 : 205.97 = 124.50 : x
  2. Step 2: Convert to fraction form
    149.39/205.97 = 124.50/x
  3. Step 3: Cross multiply
    149.39x = 205.97 × 124.50
  4. Step 4: Simplify right side
    149.39x = 25,642.64
  5. Step 5: Solve for x
    x = 25,642.64/149.39
  6. Step 6: Final answer
    x = 171.65

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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.