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Finding the Fourth Proportional to 97.57, 146.22 and 49.42

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Solution

The fourth proportional to 97.57, 146.22 and 49.42 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 146.22 = 49.42 : x
  2. Step 2: Convert to fraction form
    97.57/146.22 = 49.42/x
  3. Step 3: Cross multiply
    97.57x = 146.22 × 49.42
  4. Step 4: Simplify right side
    97.57x = 7,226.19
  5. Step 5: Solve for x
    x = 7,226.19/97.57
  6. Step 6: Final answer
    x = 74.06

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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.