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Finding the Fourth Proportional to 100.84, 138.11 and 99.76

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Solution

The fourth proportional to 100.84, 138.11 and 99.76 is: 136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 138.11 = 99.76 : x
  2. Step 2: Convert to fraction form
    100.84/138.11 = 99.76/x
  3. Step 3: Cross multiply
    100.84x = 138.11 × 99.76
  4. Step 4: Simplify right side
    100.84x = 13,777.85
  5. Step 5: Solve for x
    x = 13,777.85/100.84
  6. Step 6: Final answer
    x = 136.63

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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.