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Finding the Fourth Proportional to 146.86, 202.68 and 97.65

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Solution

The fourth proportional to 146.86, 202.68 and 97.65 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 202.68 = 97.65 : x
  2. Step 2: Convert to fraction form
    146.86/202.68 = 97.65/x
  3. Step 3: Cross multiply
    146.86x = 202.68 × 97.65
  4. Step 4: Simplify right side
    146.86x = 19,791.70
  5. Step 5: Solve for x
    x = 19,791.70/146.86
  6. Step 6: Final answer
    x = 134.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.