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Finding the Fourth Proportional to 154.64, 231.99 and 46.46

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Solution

The fourth proportional to 154.64, 231.99 and 46.46 is: 69.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 231.99 = 46.46 : x
  2. Step 2: Convert to fraction form
    154.64/231.99 = 46.46/x
  3. Step 3: Cross multiply
    154.64x = 231.99 × 46.46
  4. Step 4: Simplify right side
    154.64x = 10,777.10
  5. Step 5: Solve for x
    x = 10,777.10/154.64
  6. Step 6: Final answer
    x = 69.69

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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.