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Finding the Fourth Proportional to 117.41, 161.91 and 84.69

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Solution

The fourth proportional to 117.41, 161.91 and 84.69 is: 116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 161.91 = 84.69 : x
  2. Step 2: Convert to fraction form
    117.41/161.91 = 84.69/x
  3. Step 3: Cross multiply
    117.41x = 161.91 × 84.69
  4. Step 4: Simplify right side
    117.41x = 13,712.16
  5. Step 5: Solve for x
    x = 13,712.16/117.41
  6. Step 6: Final answer
    x = 116.79

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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.