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Finding the Fourth Proportional to 154.45, 212.84 and 110.71

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Solution

The fourth proportional to 154.45, 212.84 and 110.71 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.45 : 212.84 = 110.71 : x
  2. Step 2: Convert to fraction form
    154.45/212.84 = 110.71/x
  3. Step 3: Cross multiply
    154.45x = 212.84 × 110.71
  4. Step 4: Simplify right side
    154.45x = 23,562.45
  5. Step 5: Solve for x
    x = 23,562.45/154.45
  6. Step 6: Final answer
    x = 152.56

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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.