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Finding the Fourth Proportional to 102.29, 153.27 and 76.49

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Solution

The fourth proportional to 102.29, 153.27 and 76.49 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 153.27 = 76.49 : x
  2. Step 2: Convert to fraction form
    102.29/153.27 = 76.49/x
  3. Step 3: Cross multiply
    102.29x = 153.27 × 76.49
  4. Step 4: Simplify right side
    102.29x = 11,723.62
  5. Step 5: Solve for x
    x = 11,723.62/102.29
  6. Step 6: Final answer
    x = 114.61

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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.