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Finding the Fourth Proportional to 154.70, 231.59 and 111.23

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Solution

The fourth proportional to 154.70, 231.59 and 111.23 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.70 : 231.59 = 111.23 : x
  2. Step 2: Convert to fraction form
    154.70/231.59 = 111.23/x
  3. Step 3: Cross multiply
    154.70x = 231.59 × 111.23
  4. Step 4: Simplify right side
    154.70x = 25,758.04
  5. Step 5: Solve for x
    x = 25,758.04/154.70
  6. Step 6: Final answer
    x = 166.51

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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.