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Finding the Fourth Proportional to 98.93, 136.49 and 75.65

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Solution

The fourth proportional to 98.93, 136.49 and 75.65 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 136.49 = 75.65 : x
  2. Step 2: Convert to fraction form
    98.93/136.49 = 75.65/x
  3. Step 3: Cross multiply
    98.93x = 136.49 × 75.65
  4. Step 4: Simplify right side
    98.93x = 10,324.41
  5. Step 5: Solve for x
    x = 10,324.41/98.93
  6. Step 6: Final answer
    x = 104.37

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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.