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Finding the Fourth Proportional to 148.69, 204.82 and 124.12

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Solution

The fourth proportional to 148.69, 204.82 and 124.12 is: 170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.69 : 204.82 = 124.12 : x
  2. Step 2: Convert to fraction form
    148.69/204.82 = 124.12/x
  3. Step 3: Cross multiply
    148.69x = 204.82 × 124.12
  4. Step 4: Simplify right side
    148.69x = 25,422.26
  5. Step 5: Solve for x
    x = 25,422.26/148.69
  6. Step 6: Final answer
    x = 170.97

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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.