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Finding the Fourth Proportional to 97.95, 146.81 and 69.06

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Solution

The fourth proportional to 97.95, 146.81 and 69.06 is: 103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 146.81 = 69.06 : x
  2. Step 2: Convert to fraction form
    97.95/146.81 = 69.06/x
  3. Step 3: Cross multiply
    97.95x = 146.81 × 69.06
  4. Step 4: Simplify right side
    97.95x = 10,138.70
  5. Step 5: Solve for x
    x = 10,138.70/97.95
  6. Step 6: Final answer
    x = 103.51

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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.