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Finding the Fourth Proportional to 144.16, 198.93 and 82

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Solution

The fourth proportional to 144.16, 198.93 and 82 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 198.93 = 82 : x
  2. Step 2: Convert to fraction form
    144.16/198.93 = 82/x
  3. Step 3: Cross multiply
    144.16x = 198.93 × 82
  4. Step 4: Simplify right side
    144.16x = 16,312.26
  5. Step 5: Solve for x
    x = 16,312.26/144.16
  6. Step 6: Final answer
    x = 113.15

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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.