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Finding the Fourth Proportional to 119.52, 178.16 and 106.44

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Solution

The fourth proportional to 119.52, 178.16 and 106.44 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 178.16 = 106.44 : x
  2. Step 2: Convert to fraction form
    119.52/178.16 = 106.44/x
  3. Step 3: Cross multiply
    119.52x = 178.16 × 106.44
  4. Step 4: Simplify right side
    119.52x = 18,963.35
  5. Step 5: Solve for x
    x = 18,963.35/119.52
  6. Step 6: Final answer
    x = 158.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.