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Finding the Fourth Proportional to 117.09, 161.55 and 80.28

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Solution

The fourth proportional to 117.09, 161.55 and 80.28 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 161.55 = 80.28 : x
  2. Step 2: Convert to fraction form
    117.09/161.55 = 80.28/x
  3. Step 3: Cross multiply
    117.09x = 161.55 × 80.28
  4. Step 4: Simplify right side
    117.09x = 12,969.23
  5. Step 5: Solve for x
    x = 12,969.23/117.09
  6. Step 6: Final answer
    x = 110.76

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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.