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Finding the Fourth Proportional to 142.48, 212.69 and 124.25

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Solution

The fourth proportional to 142.48, 212.69 and 124.25 is: 185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 212.69 = 124.25 : x
  2. Step 2: Convert to fraction form
    142.48/212.69 = 124.25/x
  3. Step 3: Cross multiply
    142.48x = 212.69 × 124.25
  4. Step 4: Simplify right side
    142.48x = 26,426.73
  5. Step 5: Solve for x
    x = 26,426.73/142.48
  6. Step 6: Final answer
    x = 185.48

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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.