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Finding the Fourth Proportional to 117.05, 161.56 and 85.93

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Solution

The fourth proportional to 117.05, 161.56 and 85.93 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 161.56 = 85.93 : x
  2. Step 2: Convert to fraction form
    117.05/161.56 = 85.93/x
  3. Step 3: Cross multiply
    117.05x = 161.56 × 85.93
  4. Step 4: Simplify right side
    117.05x = 13,882.55
  5. Step 5: Solve for x
    x = 13,882.55/117.05
  6. Step 6: Final answer
    x = 118.61

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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.