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Finding the Fourth Proportional to 154.24, 231.46 and 93.35

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Solution

The fourth proportional to 154.24, 231.46 and 93.35 is: 140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 231.46 = 93.35 : x
  2. Step 2: Convert to fraction form
    154.24/231.46 = 93.35/x
  3. Step 3: Cross multiply
    154.24x = 231.46 × 93.35
  4. Step 4: Simplify right side
    154.24x = 21,607.14
  5. Step 5: Solve for x
    x = 21,607.14/154.24
  6. Step 6: Final answer
    x = 140.09

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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.