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Finding the Fourth Proportional to 154.53, 213.24 and 88.14

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Solution

The fourth proportional to 154.53, 213.24 and 88.14 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 213.24 = 88.14 : x
  2. Step 2: Convert to fraction form
    154.53/213.24 = 88.14/x
  3. Step 3: Cross multiply
    154.53x = 213.24 × 88.14
  4. Step 4: Simplify right side
    154.53x = 18,796.10
  5. Step 5: Solve for x
    x = 18,796.10/154.53
  6. Step 6: Final answer
    x = 121.63

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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.