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Finding the Fourth Proportional to 154.58, 213.38 and 108.10

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Solution

The fourth proportional to 154.58, 213.38 and 108.10 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.58 : 213.38 = 108.10 : x
  2. Step 2: Convert to fraction form
    154.58/213.38 = 108.10/x
  3. Step 3: Cross multiply
    154.58x = 213.38 × 108.10
  4. Step 4: Simplify right side
    154.58x = 23,066.38
  5. Step 5: Solve for x
    x = 23,066.38/154.58
  6. Step 6: Final answer
    x = 149.22

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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.