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Finding the Fourth Proportional to 141.38, 210.97 and 124.07

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Solution

The fourth proportional to 141.38, 210.97 and 124.07 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 210.97 = 124.07 : x
  2. Step 2: Convert to fraction form
    141.38/210.97 = 124.07/x
  3. Step 3: Cross multiply
    141.38x = 210.97 × 124.07
  4. Step 4: Simplify right side
    141.38x = 26,174.15
  5. Step 5: Solve for x
    x = 26,174.15/141.38
  6. Step 6: Final answer
    x = 185.13

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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.