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Finding the Fourth Proportional to 144.02, 198.78 and 85.02

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Solution

The fourth proportional to 144.02, 198.78 and 85.02 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 198.78 = 85.02 : x
  2. Step 2: Convert to fraction form
    144.02/198.78 = 85.02/x
  3. Step 3: Cross multiply
    144.02x = 198.78 × 85.02
  4. Step 4: Simplify right side
    144.02x = 16,900.28
  5. Step 5: Solve for x
    x = 16,900.28/144.02
  6. Step 6: Final answer
    x = 117.35

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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.