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Finding the Fourth Proportional to 100.79, 137.87 and 99.20

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Solution

The fourth proportional to 100.79, 137.87 and 99.20 is: 135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.79 : 137.87 = 99.20 : x
  2. Step 2: Convert to fraction form
    100.79/137.87 = 99.20/x
  3. Step 3: Cross multiply
    100.79x = 137.87 × 99.20
  4. Step 4: Simplify right side
    100.79x = 13,676.55
  5. Step 5: Solve for x
    x = 13,676.55/100.79
  6. Step 6: Final answer
    x = 135.69

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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.