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Finding the Fourth Proportional to 102.28, 153.31 and 71.03

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Solution

The fourth proportional to 102.28, 153.31 and 71.03 is: 106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 153.31 = 71.03 : x
  2. Step 2: Convert to fraction form
    102.28/153.31 = 71.03/x
  3. Step 3: Cross multiply
    102.28x = 153.31 × 71.03
  4. Step 4: Simplify right side
    102.28x = 10,889.09
  5. Step 5: Solve for x
    x = 10,889.09/102.28
  6. Step 6: Final answer
    x = 106.46

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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.