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Finding the Fourth Proportional to 154.46, 231.66 and 56.94

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Solution

The fourth proportional to 154.46, 231.66 and 56.94 is: 85.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 231.66 = 56.94 : x
  2. Step 2: Convert to fraction form
    154.46/231.66 = 56.94/x
  3. Step 3: Cross multiply
    154.46x = 231.66 × 56.94
  4. Step 4: Simplify right side
    154.46x = 13,191.59
  5. Step 5: Solve for x
    x = 13,191.59/154.46
  6. Step 6: Final answer
    x = 85.41

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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.