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Finding the Fourth Proportional to 117.14, 161.71 and 80.49

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Solution

The fourth proportional to 117.14, 161.71 and 80.49 is: 111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 161.71 = 80.49 : x
  2. Step 2: Convert to fraction form
    117.14/161.71 = 80.49/x
  3. Step 3: Cross multiply
    117.14x = 161.71 × 80.49
  4. Step 4: Simplify right side
    117.14x = 13,015.84
  5. Step 5: Solve for x
    x = 13,015.84/117.14
  6. Step 6: Final answer
    x = 111.11

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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.