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Finding the Fourth Proportional to 98.65, 135.99 and 76.78

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Solution

The fourth proportional to 98.65, 135.99 and 76.78 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.65 : 135.99 = 76.78 : x
  2. Step 2: Convert to fraction form
    98.65/135.99 = 76.78/x
  3. Step 3: Cross multiply
    98.65x = 135.99 × 76.78
  4. Step 4: Simplify right side
    98.65x = 10,441.31
  5. Step 5: Solve for x
    x = 10,441.31/98.65
  6. Step 6: Final answer
    x = 105.84

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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.