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Finding the Fourth Proportional to 154.48, 213.18 and 87.18

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Solution

The fourth proportional to 154.48, 213.18 and 87.18 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 213.18 = 87.18 : x
  2. Step 2: Convert to fraction form
    154.48/213.18 = 87.18/x
  3. Step 3: Cross multiply
    154.48x = 213.18 × 87.18
  4. Step 4: Simplify right side
    154.48x = 18,585.03
  5. Step 5: Solve for x
    x = 18,585.03/154.48
  6. Step 6: Final answer
    x = 120.31

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Why These Related Problems?

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