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Finding the Fourth Proportional to 154.45, 213.06 and 107.74

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Solution

The fourth proportional to 154.45, 213.06 and 107.74 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 213.06 = 107.74 : x
  2. Step 2: Convert to fraction form
    154.45/213.06 = 107.74/x
  3. Step 3: Cross multiply
    154.45x = 213.06 × 107.74
  4. Step 4: Simplify right side
    154.45x = 22,955.08
  5. Step 5: Solve for x
    x = 22,955.08/154.45
  6. Step 6: Final answer
    x = 148.62

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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.