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Finding the Fourth Proportional to 97.65, 146.47 and 36.78

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Solution

The fourth proportional to 97.65, 146.47 and 36.78 is: 55.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 146.47 = 36.78 : x
  2. Step 2: Convert to fraction form
    97.65/146.47 = 36.78/x
  3. Step 3: Cross multiply
    97.65x = 146.47 × 36.78
  4. Step 4: Simplify right side
    97.65x = 5,387.21
  5. Step 5: Solve for x
    x = 5,387.21/97.65
  6. Step 6: Final answer
    x = 55.17

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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.