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Finding the Fourth Proportional to 141.40, 195.14 and 102.52

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Solution

The fourth proportional to 141.40, 195.14 and 102.52 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 195.14 = 102.52 : x
  2. Step 2: Convert to fraction form
    141.40/195.14 = 102.52/x
  3. Step 3: Cross multiply
    141.40x = 195.14 × 102.52
  4. Step 4: Simplify right side
    141.40x = 20,005.75
  5. Step 5: Solve for x
    x = 20,005.75/141.40
  6. Step 6: Final answer
    x = 141.48

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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.