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Finding the Fourth Proportional to 102.14, 153.01 and 81.61

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Solution

The fourth proportional to 102.14, 153.01 and 81.61 is: 122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.01 = 81.61 : x
  2. Step 2: Convert to fraction form
    102.14/153.01 = 81.61/x
  3. Step 3: Cross multiply
    102.14x = 153.01 × 81.61
  4. Step 4: Simplify right side
    102.14x = 12,486.85
  5. Step 5: Solve for x
    x = 12,486.85/102.14
  6. Step 6: Final answer
    x = 122.26

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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.