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Finding the Fourth Proportional to 102.27, 153.43 and 71.14

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Solution

The fourth proportional to 102.27, 153.43 and 71.14 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 153.43 = 71.14 : x
  2. Step 2: Convert to fraction form
    102.27/153.43 = 71.14/x
  3. Step 3: Cross multiply
    102.27x = 153.43 × 71.14
  4. Step 4: Simplify right side
    102.27x = 10,915.01
  5. Step 5: Solve for x
    x = 10,915.01/102.27
  6. Step 6: Final answer
    x = 106.73

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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.