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Finding the Fourth Proportional to 220.55, 330.56 and 105.02

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Solution

The fourth proportional to 220.55, 330.56 and 105.02 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.55 : 330.56 = 105.02 : x
  2. Step 2: Convert to fraction form
    220.55/330.56 = 105.02/x
  3. Step 3: Cross multiply
    220.55x = 330.56 × 105.02
  4. Step 4: Simplify right side
    220.55x = 34,716.50
  5. Step 5: Solve for x
    x = 34,716.50/220.55
  6. Step 6: Final answer
    x = 157.41

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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.