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Finding the Fourth Proportional to 154.68, 213.84 and 135.24

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Solution

The fourth proportional to 154.68, 213.84 and 135.24 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 213.84 = 135.24 : x
  2. Step 2: Convert to fraction form
    154.68/213.84 = 135.24/x
  3. Step 3: Cross multiply
    154.68x = 213.84 × 135.24
  4. Step 4: Simplify right side
    154.68x = 28,919.72
  5. Step 5: Solve for x
    x = 28,919.72/154.68
  6. Step 6: Final answer
    x = 186.96

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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.