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Finding the Fourth Proportional to 102.45, 140.54 and 99.76

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Solution

The fourth proportional to 102.45, 140.54 and 99.76 is: 136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.45 : 140.54 = 99.76 : x
  2. Step 2: Convert to fraction form
    102.45/140.54 = 99.76/x
  3. Step 3: Cross multiply
    102.45x = 140.54 × 99.76
  4. Step 4: Simplify right side
    102.45x = 14,020.13
  5. Step 5: Solve for x
    x = 14,020.13/102.45
  6. Step 6: Final answer
    x = 136.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.