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Finding the Fourth Proportional to 144.36, 198.98 and 111.60

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Solution

The fourth proportional to 144.36, 198.98 and 111.60 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.36 : 198.98 = 111.60 : x
  2. Step 2: Convert to fraction form
    144.36/198.98 = 111.60/x
  3. Step 3: Cross multiply
    144.36x = 198.98 × 111.60
  4. Step 4: Simplify right side
    144.36x = 22,206.17
  5. Step 5: Solve for x
    x = 22,206.17/144.36
  6. Step 6: Final answer
    x = 153.82

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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.