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Finding the Fourth Proportional to 100.80, 138.78 and 84.60

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Solution

The fourth proportional to 100.80, 138.78 and 84.60 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 138.78 = 84.60 : x
  2. Step 2: Convert to fraction form
    100.80/138.78 = 84.60/x
  3. Step 3: Cross multiply
    100.80x = 138.78 × 84.60
  4. Step 4: Simplify right side
    100.80x = 11,740.79
  5. Step 5: Solve for x
    x = 11,740.79/100.80
  6. Step 6: Final answer
    x = 116.48

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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.