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Finding the Fourth Proportional to 97.68, 146.66 and 57.14

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Solution

The fourth proportional to 97.68, 146.66 and 57.14 is: 85.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 146.66 = 57.14 : x
  2. Step 2: Convert to fraction form
    97.68/146.66 = 57.14/x
  3. Step 3: Cross multiply
    97.68x = 146.66 × 57.14
  4. Step 4: Simplify right side
    97.68x = 8,379.13
  5. Step 5: Solve for x
    x = 8,379.13/97.68
  6. Step 6: Final answer
    x = 85.78

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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.