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Finding the Fourth Proportional to 102.09, 140.90 and 68.91

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Solution

The fourth proportional to 102.09, 140.90 and 68.91 is: 95.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 140.90 = 68.91 : x
  2. Step 2: Convert to fraction form
    102.09/140.90 = 68.91/x
  3. Step 3: Cross multiply
    102.09x = 140.90 × 68.91
  4. Step 4: Simplify right side
    102.09x = 9,709.42
  5. Step 5: Solve for x
    x = 9,709.42/102.09
  6. Step 6: Final answer
    x = 95.11

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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.