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Finding the Fourth Proportional to 154.98, 213.78 and 113.64

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Solution

The fourth proportional to 154.98, 213.78 and 113.64 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 213.78 = 113.64 : x
  2. Step 2: Convert to fraction form
    154.98/213.78 = 113.64/x
  3. Step 3: Cross multiply
    154.98x = 213.78 × 113.64
  4. Step 4: Simplify right side
    154.98x = 24,293.96
  5. Step 5: Solve for x
    x = 24,293.96/154.98
  6. Step 6: Final answer
    x = 156.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.