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Finding the Fourth Proportional to 97.45, 146.11 and 58.42

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Solution

The fourth proportional to 97.45, 146.11 and 58.42 is: 87.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 146.11 = 58.42 : x
  2. Step 2: Convert to fraction form
    97.45/146.11 = 58.42/x
  3. Step 3: Cross multiply
    97.45x = 146.11 × 58.42
  4. Step 4: Simplify right side
    97.45x = 8,535.02
  5. Step 5: Solve for x
    x = 8,535.02/97.45
  6. Step 6: Final answer
    x = 87.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.