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Finding the Fourth Proportional to 142.53, 196.69 and 80.35

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Solution

The fourth proportional to 142.53, 196.69 and 80.35 is: 110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.53 : 196.69 = 80.35 : x
  2. Step 2: Convert to fraction form
    142.53/196.69 = 80.35/x
  3. Step 3: Cross multiply
    142.53x = 196.69 × 80.35
  4. Step 4: Simplify right side
    142.53x = 15,804.24
  5. Step 5: Solve for x
    x = 15,804.24/142.53
  6. Step 6: Final answer
    x = 110.89

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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.