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Finding the Fourth Proportional to 118.77, 163.89 and 117.24

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Solution

The fourth proportional to 118.77, 163.89 and 117.24 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.77 : 163.89 = 117.24 : x
  2. Step 2: Convert to fraction form
    118.77/163.89 = 117.24/x
  3. Step 3: Cross multiply
    118.77x = 163.89 × 117.24
  4. Step 4: Simplify right side
    118.77x = 19,214.46
  5. Step 5: Solve for x
    x = 19,214.46/118.77
  6. Step 6: Final answer
    x = 161.78

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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.