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Finding the Fourth Proportional to 131.34, 195.95 and 119.55

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Solution

The fourth proportional to 131.34, 195.95 and 119.55 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.34 : 195.95 = 119.55 : x
  2. Step 2: Convert to fraction form
    131.34/195.95 = 119.55/x
  3. Step 3: Cross multiply
    131.34x = 195.95 × 119.55
  4. Step 4: Simplify right side
    131.34x = 23,425.22
  5. Step 5: Solve for x
    x = 23,425.22/131.34
  6. Step 6: Final answer
    x = 178.36

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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.