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Finding the Fourth Proportional to 98.82, 147.96 and 77.22

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Solution

The fourth proportional to 98.82, 147.96 and 77.22 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.82 : 147.96 = 77.22 : x
  2. Step 2: Convert to fraction form
    98.82/147.96 = 77.22/x
  3. Step 3: Cross multiply
    98.82x = 147.96 × 77.22
  4. Step 4: Simplify right side
    98.82x = 11,425.47
  5. Step 5: Solve for x
    x = 11,425.47/98.82
  6. Step 6: Final answer
    x = 115.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.