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Finding the Fourth Proportional to 117.15, 161.60 and 82.11

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Solution

The fourth proportional to 117.15, 161.60 and 82.11 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.15 : 161.60 = 82.11 : x
  2. Step 2: Convert to fraction form
    117.15/161.60 = 82.11/x
  3. Step 3: Cross multiply
    117.15x = 161.60 × 82.11
  4. Step 4: Simplify right side
    117.15x = 13,269.17
  5. Step 5: Solve for x
    x = 13,269.17/117.15
  6. Step 6: Final answer
    x = 113.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.