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Finding the Fourth Proportional to 131.63, 197.24 and 77.49

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Solution

The fourth proportional to 131.63, 197.24 and 77.49 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 197.24 = 77.49 : x
  2. Step 2: Convert to fraction form
    131.63/197.24 = 77.49/x
  3. Step 3: Cross multiply
    131.63x = 197.24 × 77.49
  4. Step 4: Simplify right side
    131.63x = 15,283.74
  5. Step 5: Solve for x
    x = 15,283.74/131.63
  6. Step 6: Final answer
    x = 116.12

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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.