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Finding the Fourth Proportional to 144.13, 198.90 and 78.64

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Solution

The fourth proportional to 144.13, 198.90 and 78.64 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.13 : 198.90 = 78.64 : x
  2. Step 2: Convert to fraction form
    144.13/198.90 = 78.64/x
  3. Step 3: Cross multiply
    144.13x = 198.90 × 78.64
  4. Step 4: Simplify right side
    144.13x = 15,641.50
  5. Step 5: Solve for x
    x = 15,641.50/144.13
  6. Step 6: Final answer
    x = 108.52

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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.