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Finding the Fourth Proportional to 222.06, 332.88 and 106.54

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Solution

The fourth proportional to 222.06, 332.88 and 106.54 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.06 : 332.88 = 106.54 : x
  2. Step 2: Convert to fraction form
    222.06/332.88 = 106.54/x
  3. Step 3: Cross multiply
    222.06x = 332.88 × 106.54
  4. Step 4: Simplify right side
    222.06x = 35,465.04
  5. Step 5: Solve for x
    x = 35,465.04/222.06
  6. Step 6: Final answer
    x = 159.71

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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.