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Finding the Fourth Proportional to 117.27, 161.85 and 68.14

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Solution

The fourth proportional to 117.27, 161.85 and 68.14 is: 94.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.27 : 161.85 = 68.14 : x
  2. Step 2: Convert to fraction form
    117.27/161.85 = 68.14/x
  3. Step 3: Cross multiply
    117.27x = 161.85 × 68.14
  4. Step 4: Simplify right side
    117.27x = 11,028.92
  5. Step 5: Solve for x
    x = 11,028.92/117.27
  6. Step 6: Final answer
    x = 94.05

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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.