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Finding the Fourth Proportional to 117.30, 161.79 and 95.43

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Solution

The fourth proportional to 117.30, 161.79 and 95.43 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 161.79 = 95.43 : x
  2. Step 2: Convert to fraction form
    117.30/161.79 = 95.43/x
  3. Step 3: Cross multiply
    117.30x = 161.79 × 95.43
  4. Step 4: Simplify right side
    117.30x = 15,439.62
  5. Step 5: Solve for x
    x = 15,439.62/117.30
  6. Step 6: Final answer
    x = 131.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.