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Finding the Fourth Proportional to 110.84, 166.33 and 56.74

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Solution

The fourth proportional to 110.84, 166.33 and 56.74 is: 85.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.84 : 166.33 = 56.74 : x
  2. Step 2: Convert to fraction form
    110.84/166.33 = 56.74/x
  3. Step 3: Cross multiply
    110.84x = 166.33 × 56.74
  4. Step 4: Simplify right side
    110.84x = 9,437.56
  5. Step 5: Solve for x
    x = 9,437.56/110.84
  6. Step 6: Final answer
    x = 85.15

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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.