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Finding the Fourth Proportional to 98.26, 147.45 and 69.42

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Solution

The fourth proportional to 98.26, 147.45 and 69.42 is: 104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.26 : 147.45 = 69.42 : x
  2. Step 2: Convert to fraction form
    98.26/147.45 = 69.42/x
  3. Step 3: Cross multiply
    98.26x = 147.45 × 69.42
  4. Step 4: Simplify right side
    98.26x = 10,235.98
  5. Step 5: Solve for x
    x = 10,235.98/98.26
  6. Step 6: Final answer
    x = 104.17

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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.