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Finding the Fourth Proportional to 154.53, 213.30 and 121.77

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Solution

The fourth proportional to 154.53, 213.30 and 121.77 is: 168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 213.30 = 121.77 : x
  2. Step 2: Convert to fraction form
    154.53/213.30 = 121.77/x
  3. Step 3: Cross multiply
    154.53x = 213.30 × 121.77
  4. Step 4: Simplify right side
    154.53x = 25,973.54
  5. Step 5: Solve for x
    x = 25,973.54/154.53
  6. Step 6: Final answer
    x = 168.08

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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.