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Finding the Fourth Proportional to 110.74, 166.08 and 56.56

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Solution

The fourth proportional to 110.74, 166.08 and 56.56 is: 84.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 166.08 = 56.56 : x
  2. Step 2: Convert to fraction form
    110.74/166.08 = 56.56/x
  3. Step 3: Cross multiply
    110.74x = 166.08 × 56.56
  4. Step 4: Simplify right side
    110.74x = 9,393.48
  5. Step 5: Solve for x
    x = 9,393.48/110.74
  6. Step 6: Final answer
    x = 84.82

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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.