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Finding the Fourth Proportional to 98.84, 136.32 and 74.27

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Solution

The fourth proportional to 98.84, 136.32 and 74.27 is: 102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 136.32 = 74.27 : x
  2. Step 2: Convert to fraction form
    98.84/136.32 = 74.27/x
  3. Step 3: Cross multiply
    98.84x = 136.32 × 74.27
  4. Step 4: Simplify right side
    98.84x = 10,124.49
  5. Step 5: Solve for x
    x = 10,124.49/98.84
  6. Step 6: Final answer
    x = 102.43

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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.