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Finding the Fourth Proportional to 117.25, 161.59 and 86.09

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Solution

The fourth proportional to 117.25, 161.59 and 86.09 is: 118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 161.59 = 86.09 : x
  2. Step 2: Convert to fraction form
    117.25/161.59 = 86.09/x
  3. Step 3: Cross multiply
    117.25x = 161.59 × 86.09
  4. Step 4: Simplify right side
    117.25x = 13,911.28
  5. Step 5: Solve for x
    x = 13,911.28/117.25
  6. Step 6: Final answer
    x = 118.65

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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.