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Finding the Fourth Proportional to 142.96, 213.49 and 124.72

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Solution

The fourth proportional to 142.96, 213.49 and 124.72 is: 186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 213.49 = 124.72 : x
  2. Step 2: Convert to fraction form
    142.96/213.49 = 124.72/x
  3. Step 3: Cross multiply
    142.96x = 213.49 × 124.72
  4. Step 4: Simplify right side
    142.96x = 26,626.47
  5. Step 5: Solve for x
    x = 26,626.47/142.96
  6. Step 6: Final answer
    x = 186.25

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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.