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Finding the Fourth Proportional to 100.49, 138.74 and 69.44

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Solution

The fourth proportional to 100.49, 138.74 and 69.44 is: 95.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.49 : 138.74 = 69.44 : x
  2. Step 2: Convert to fraction form
    100.49/138.74 = 69.44/x
  3. Step 3: Cross multiply
    100.49x = 138.74 × 69.44
  4. Step 4: Simplify right side
    100.49x = 9,633.06
  5. Step 5: Solve for x
    x = 9,633.06/100.49
  6. Step 6: Final answer
    x = 95.87

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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.