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Finding the Fourth Proportional to 166.55, 229.66 and 111.20

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Solution

The fourth proportional to 166.55, 229.66 and 111.20 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.55 : 229.66 = 111.20 : x
  2. Step 2: Convert to fraction form
    166.55/229.66 = 111.20/x
  3. Step 3: Cross multiply
    166.55x = 229.66 × 111.20
  4. Step 4: Simplify right side
    166.55x = 25,536.77
  5. Step 5: Solve for x
    x = 25,536.77/166.55
  6. Step 6: Final answer
    x = 153.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.