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Finding the Fourth Proportional to 118, 161.75 and 117.78

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Solution

The fourth proportional to 118, 161.75 and 117.78 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 161.75 = 117.78 : x
  2. Step 2: Convert to fraction form
    118/161.75 = 117.78/x
  3. Step 3: Cross multiply
    118x = 161.75 × 117.78
  4. Step 4: Simplify right side
    118x = 19,050.92
  5. Step 5: Solve for x
    x = 19,050.92/118
  6. Step 6: Final answer
    x = 161.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.