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Finding the Fourth Proportional to 154.43, 231.63 and 56.93

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Solution

The fourth proportional to 154.43, 231.63 and 56.93 is: 85.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 231.63 = 56.93 : x
  2. Step 2: Convert to fraction form
    154.43/231.63 = 56.93/x
  3. Step 3: Cross multiply
    154.43x = 231.63 × 56.93
  4. Step 4: Simplify right side
    154.43x = 13,185.54
  5. Step 5: Solve for x
    x = 13,185.54/154.43
  6. Step 6: Final answer
    x = 85.38

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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.