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Finding the Fourth Proportional to 98.68, 136.14 and 84.12

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Solution

The fourth proportional to 98.68, 136.14 and 84.12 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 136.14 = 84.12 : x
  2. Step 2: Convert to fraction form
    98.68/136.14 = 84.12/x
  3. Step 3: Cross multiply
    98.68x = 136.14 × 84.12
  4. Step 4: Simplify right side
    98.68x = 11,452.10
  5. Step 5: Solve for x
    x = 11,452.10/98.68
  6. Step 6: Final answer
    x = 116.05

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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.