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Finding the Fourth Proportional to 107.98, 161.10 and 97.88

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Solution

The fourth proportional to 107.98, 161.10 and 97.88 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 161.10 = 97.88 : x
  2. Step 2: Convert to fraction form
    107.98/161.10 = 97.88/x
  3. Step 3: Cross multiply
    107.98x = 161.10 × 97.88
  4. Step 4: Simplify right side
    107.98x = 15,768.47
  5. Step 5: Solve for x
    x = 15,768.47/107.98
  6. Step 6: Final answer
    x = 146.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.