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Finding the Fourth Proportional to 104.68, 144.02 and 101.80

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Solution

The fourth proportional to 104.68, 144.02 and 101.80 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.68 : 144.02 = 101.80 : x
  2. Step 2: Convert to fraction form
    104.68/144.02 = 101.80/x
  3. Step 3: Cross multiply
    104.68x = 144.02 × 101.80
  4. Step 4: Simplify right side
    104.68x = 14,660.01
  5. Step 5: Solve for x
    x = 14,660.01/104.68
  6. Step 6: Final answer
    x = 140.05

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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.