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Finding the Fourth Proportional to 140.42, 211.46 and 102.17

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Solution

The fourth proportional to 140.42, 211.46 and 102.17 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 211.46 = 102.17 : x
  2. Step 2: Convert to fraction form
    140.42/211.46 = 102.17/x
  3. Step 3: Cross multiply
    140.42x = 211.46 × 102.17
  4. Step 4: Simplify right side
    140.42x = 21,604.87
  5. Step 5: Solve for x
    x = 21,604.87/140.42
  6. Step 6: Final answer
    x = 153.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.