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Finding the Fourth Proportional to 105.17, 144.89 and 99.02

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Solution

The fourth proportional to 105.17, 144.89 and 99.02 is: 136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 144.89 = 99.02 : x
  2. Step 2: Convert to fraction form
    105.17/144.89 = 99.02/x
  3. Step 3: Cross multiply
    105.17x = 144.89 × 99.02
  4. Step 4: Simplify right side
    105.17x = 14,347.25
  5. Step 5: Solve for x
    x = 14,347.25/105.17
  6. Step 6: Final answer
    x = 136.42

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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.