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Finding the Fourth Proportional to 98.43, 135.64 and 76.17

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Solution

The fourth proportional to 98.43, 135.64 and 76.17 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.43 : 135.64 = 76.17 : x
  2. Step 2: Convert to fraction form
    98.43/135.64 = 76.17/x
  3. Step 3: Cross multiply
    98.43x = 135.64 × 76.17
  4. Step 4: Simplify right side
    98.43x = 10,331.35
  5. Step 5: Solve for x
    x = 10,331.35/98.43
  6. Step 6: Final answer
    x = 104.96

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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.