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Finding the Fourth Proportional to 117.30, 161.66 and 82.22

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Solution

The fourth proportional to 117.30, 161.66 and 82.22 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 161.66 = 82.22 : x
  2. Step 2: Convert to fraction form
    117.30/161.66 = 82.22/x
  3. Step 3: Cross multiply
    117.30x = 161.66 × 82.22
  4. Step 4: Simplify right side
    117.30x = 13,290.47
  5. Step 5: Solve for x
    x = 13,290.47/117.30
  6. Step 6: Final answer
    x = 113.30

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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.