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Finding the Fourth Proportional to 154.37, 231.14 and 93.41

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Solution

The fourth proportional to 154.37, 231.14 and 93.41 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 231.14 = 93.41 : x
  2. Step 2: Convert to fraction form
    154.37/231.14 = 93.41/x
  3. Step 3: Cross multiply
    154.37x = 231.14 × 93.41
  4. Step 4: Simplify right side
    154.37x = 21,590.32
  5. Step 5: Solve for x
    x = 21,590.32/154.37
  6. Step 6: Final answer
    x = 139.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.