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Finding the Fourth Proportional to 102.07, 140.90 and 91.27

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Solution

The fourth proportional to 102.07, 140.90 and 91.27 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 140.90 = 91.27 : x
  2. Step 2: Convert to fraction form
    102.07/140.90 = 91.27/x
  3. Step 3: Cross multiply
    102.07x = 140.90 × 91.27
  4. Step 4: Simplify right side
    102.07x = 12,859.49
  5. Step 5: Solve for x
    x = 12,859.49/102.07
  6. Step 6: Final answer
    x = 125.99

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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.