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Finding the Fourth Proportional to 119.28, 178.44 and 97.14

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Solution

The fourth proportional to 119.28, 178.44 and 97.14 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 178.44 = 97.14 : x
  2. Step 2: Convert to fraction form
    119.28/178.44 = 97.14/x
  3. Step 3: Cross multiply
    119.28x = 178.44 × 97.14
  4. Step 4: Simplify right side
    119.28x = 17,333.66
  5. Step 5: Solve for x
    x = 17,333.66/119.28
  6. Step 6: Final answer
    x = 145.32

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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.