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Finding the Fourth Proportional to 105.13, 144.99 and 68.24

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Solution

The fourth proportional to 105.13, 144.99 and 68.24 is: 94.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.13 : 144.99 = 68.24 : x
  2. Step 2: Convert to fraction form
    105.13/144.99 = 68.24/x
  3. Step 3: Cross multiply
    105.13x = 144.99 × 68.24
  4. Step 4: Simplify right side
    105.13x = 9,894.48
  5. Step 5: Solve for x
    x = 9,894.48/105.13
  6. Step 6: Final answer
    x = 94.12

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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.