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Finding the Fourth Proportional to 98.63, 136.04 and 76.46

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Solution

The fourth proportional to 98.63, 136.04 and 76.46 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 136.04 = 76.46 : x
  2. Step 2: Convert to fraction form
    98.63/136.04 = 76.46/x
  3. Step 3: Cross multiply
    98.63x = 136.04 × 76.46
  4. Step 4: Simplify right side
    98.63x = 10,401.62
  5. Step 5: Solve for x
    x = 10,401.62/98.63
  6. Step 6: Final answer
    x = 105.46

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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.