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Finding the Fourth Proportional to 144.17, 198.89 and 97.53

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Solution

The fourth proportional to 144.17, 198.89 and 97.53 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.17 : 198.89 = 97.53 : x
  2. Step 2: Convert to fraction form
    144.17/198.89 = 97.53/x
  3. Step 3: Cross multiply
    144.17x = 198.89 × 97.53
  4. Step 4: Simplify right side
    144.17x = 19,397.74
  5. Step 5: Solve for x
    x = 19,397.74/144.17
  6. Step 6: Final answer
    x = 134.55

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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.