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Finding the Fourth Proportional to 102.25, 141.05 and 69.49

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Solution

The fourth proportional to 102.25, 141.05 and 69.49 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 141.05 = 69.49 : x
  2. Step 2: Convert to fraction form
    102.25/141.05 = 69.49/x
  3. Step 3: Cross multiply
    102.25x = 141.05 × 69.49
  4. Step 4: Simplify right side
    102.25x = 9,801.56
  5. Step 5: Solve for x
    x = 9,801.56/102.25
  6. Step 6: Final answer
    x = 95.86

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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.