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Finding the Fourth Proportional to 144.11, 198.82 and 113.00

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Solution

The fourth proportional to 144.11, 198.82 and 113.00 is: 155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.11 : 198.82 = 113.00 : x
  2. Step 2: Convert to fraction form
    144.11/198.82 = 113.00/x
  3. Step 3: Cross multiply
    144.11x = 198.82 × 113.00
  4. Step 4: Simplify right side
    144.11x = 22,465.81
  5. Step 5: Solve for x
    x = 22,465.81/144.11
  6. Step 6: Final answer
    x = 155.89

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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.