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Finding the Fourth Proportional to 131.45, 196.13 and 117.77

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Solution

The fourth proportional to 131.45, 196.13 and 117.77 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.45 : 196.13 = 117.77 : x
  2. Step 2: Convert to fraction form
    131.45/196.13 = 117.77/x
  3. Step 3: Cross multiply
    131.45x = 196.13 × 117.77
  4. Step 4: Simplify right side
    131.45x = 23,096.66
  5. Step 5: Solve for x
    x = 23,096.66/131.45
  6. Step 6: Final answer
    x = 175.71

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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.