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Finding the Fourth Proportional to 110.94, 166.50 and 56.85

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Solution

The fourth proportional to 110.94, 166.50 and 56.85 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 166.50 = 56.85 : x
  2. Step 2: Convert to fraction form
    110.94/166.50 = 56.85/x
  3. Step 3: Cross multiply
    110.94x = 166.50 × 56.85
  4. Step 4: Simplify right side
    110.94x = 9,465.53
  5. Step 5: Solve for x
    x = 9,465.53/110.94
  6. Step 6: Final answer
    x = 85.32

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Why These Related Problems?

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