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Finding the Fourth Proportional to 142.26, 196.28 and 80.06

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Solution

The fourth proportional to 142.26, 196.28 and 80.06 is: 110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.26 : 196.28 = 80.06 : x
  2. Step 2: Convert to fraction form
    142.26/196.28 = 80.06/x
  3. Step 3: Cross multiply
    142.26x = 196.28 × 80.06
  4. Step 4: Simplify right side
    142.26x = 15,714.18
  5. Step 5: Solve for x
    x = 15,714.18/142.26
  6. Step 6: Final answer
    x = 110.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.