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Finding the Fourth Proportional to 117.07, 161.37 and 82.04

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Solution

The fourth proportional to 117.07, 161.37 and 82.04 is: 113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 161.37 = 82.04 : x
  2. Step 2: Convert to fraction form
    117.07/161.37 = 82.04/x
  3. Step 3: Cross multiply
    117.07x = 161.37 × 82.04
  4. Step 4: Simplify right side
    117.07x = 13,238.79
  5. Step 5: Solve for x
    x = 13,238.79/117.07
  6. Step 6: Final answer
    x = 113.08

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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.