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Finding the Fourth Proportional to 117.18, 161.56 and 84.38

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Solution

The fourth proportional to 117.18, 161.56 and 84.38 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.18 : 161.56 = 84.38 : x
  2. Step 2: Convert to fraction form
    117.18/161.56 = 84.38/x
  3. Step 3: Cross multiply
    117.18x = 161.56 × 84.38
  4. Step 4: Simplify right side
    117.18x = 13,631.73
  5. Step 5: Solve for x
    x = 13,631.73/117.18
  6. Step 6: Final answer
    x = 116.33

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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.