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Finding the Fourth Proportional to 117.28, 161.75 and 84.55

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Solution

The fourth proportional to 117.28, 161.75 and 84.55 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 161.75 = 84.55 : x
  2. Step 2: Convert to fraction form
    117.28/161.75 = 84.55/x
  3. Step 3: Cross multiply
    117.28x = 161.75 × 84.55
  4. Step 4: Simplify right side
    117.28x = 13,674.73
  5. Step 5: Solve for x
    x = 13,674.73/117.28
  6. Step 6: Final answer
    x = 116.60

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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.