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Finding the Fourth Proportional to 154.74, 232.14 and 46.56

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Solution

The fourth proportional to 154.74, 232.14 and 46.56 is: 69.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 232.14 = 46.56 : x
  2. Step 2: Convert to fraction form
    154.74/232.14 = 46.56/x
  3. Step 3: Cross multiply
    154.74x = 232.14 × 46.56
  4. Step 4: Simplify right side
    154.74x = 10,808.44
  5. Step 5: Solve for x
    x = 10,808.44/154.74
  6. Step 6: Final answer
    x = 69.85

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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.