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Finding the Fourth Proportional to 154.20, 212.30 and 136.22

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Solution

The fourth proportional to 154.20, 212.30 and 136.22 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 212.30 = 136.22 : x
  2. Step 2: Convert to fraction form
    154.20/212.30 = 136.22/x
  3. Step 3: Cross multiply
    154.20x = 212.30 × 136.22
  4. Step 4: Simplify right side
    154.20x = 28,918.79
  5. Step 5: Solve for x
    x = 28,918.79/154.20
  6. Step 6: Final answer
    x = 187.54

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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.