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Finding the Fourth Proportional to 98.68, 136.00 and 78.98

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Solution

The fourth proportional to 98.68, 136.00 and 78.98 is: 108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 136.00 = 78.98 : x
  2. Step 2: Convert to fraction form
    98.68/136.00 = 78.98/x
  3. Step 3: Cross multiply
    98.68x = 136.00 × 78.98
  4. Step 4: Simplify right side
    98.68x = 10,740.80
  5. Step 5: Solve for x
    x = 10,740.80/98.68
  6. Step 6: Final answer
    x = 108.84

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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.