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Finding the Fourth Proportional to 98.13, 146.96 and 71.09

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Solution

The fourth proportional to 98.13, 146.96 and 71.09 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 146.96 = 71.09 : x
  2. Step 2: Convert to fraction form
    98.13/146.96 = 71.09/x
  3. Step 3: Cross multiply
    98.13x = 146.96 × 71.09
  4. Step 4: Simplify right side
    98.13x = 10,448.34
  5. Step 5: Solve for x
    x = 10,448.34/98.13
  6. Step 6: Final answer
    x = 106.48

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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.