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Finding the Fourth Proportional to 110.94, 166.59 and 83.52

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Solution

The fourth proportional to 110.94, 166.59 and 83.52 is: 125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 166.59 = 83.52 : x
  2. Step 2: Convert to fraction form
    110.94/166.59 = 83.52/x
  3. Step 3: Cross multiply
    110.94x = 166.59 × 83.52
  4. Step 4: Simplify right side
    110.94x = 13,913.60
  5. Step 5: Solve for x
    x = 13,913.60/110.94
  6. Step 6: Final answer
    x = 125.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.