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Finding the Fourth Proportional to 98.61, 136.16 and 76.74

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Solution

The fourth proportional to 98.61, 136.16 and 76.74 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 136.16 = 76.74 : x
  2. Step 2: Convert to fraction form
    98.61/136.16 = 76.74/x
  3. Step 3: Cross multiply
    98.61x = 136.16 × 76.74
  4. Step 4: Simplify right side
    98.61x = 10,448.53
  5. Step 5: Solve for x
    x = 10,448.53/98.61
  6. Step 6: Final answer
    x = 105.96

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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.