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Finding the Fourth Proportional to 97.55, 146.32 and 25.42

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Solution

The fourth proportional to 97.55, 146.32 and 25.42 is: 38.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.55 : 146.32 = 25.42 : x
  2. Step 2: Convert to fraction form
    97.55/146.32 = 25.42/x
  3. Step 3: Cross multiply
    97.55x = 146.32 × 25.42
  4. Step 4: Simplify right side
    97.55x = 3,719.03
  5. Step 5: Solve for x
    x = 3,719.03/97.55
  6. Step 6: Final answer
    x = 38.12

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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.