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Finding the Fourth Proportional to 154.08, 212.56 and 108

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Solution

The fourth proportional to 154.08, 212.56 and 108 is: 148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 212.56 = 108 : x
  2. Step 2: Convert to fraction form
    154.08/212.56 = 108/x
  3. Step 3: Cross multiply
    154.08x = 212.56 × 108
  4. Step 4: Simplify right side
    154.08x = 22,956.48
  5. Step 5: Solve for x
    x = 22,956.48/154.08
  6. Step 6: Final answer
    x = 148.99

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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.