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Finding the Fourth Proportional to 99.36, 149.13 and 68.82

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Solution

The fourth proportional to 99.36, 149.13 and 68.82 is: 103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 149.13 = 68.82 : x
  2. Step 2: Convert to fraction form
    99.36/149.13 = 68.82/x
  3. Step 3: Cross multiply
    99.36x = 149.13 × 68.82
  4. Step 4: Simplify right side
    99.36x = 10,263.13
  5. Step 5: Solve for x
    x = 10,263.13/99.36
  6. Step 6: Final answer
    x = 103.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.