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Finding the Fourth Proportional to 102.53, 153.92 and 80.89

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Solution

The fourth proportional to 102.53, 153.92 and 80.89 is: 121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.92 = 80.89 : x
  2. Step 2: Convert to fraction form
    102.53/153.92 = 80.89/x
  3. Step 3: Cross multiply
    102.53x = 153.92 × 80.89
  4. Step 4: Simplify right side
    102.53x = 12,450.41
  5. Step 5: Solve for x
    x = 12,450.41/102.53
  6. Step 6: Final answer
    x = 121.43

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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.