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Finding the Fourth Proportional to 154.50, 213.42 and 105.30

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Solution

The fourth proportional to 154.50, 213.42 and 105.30 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 213.42 = 105.30 : x
  2. Step 2: Convert to fraction form
    154.50/213.42 = 105.30/x
  3. Step 3: Cross multiply
    154.50x = 213.42 × 105.30
  4. Step 4: Simplify right side
    154.50x = 22,473.13
  5. Step 5: Solve for x
    x = 22,473.13/154.50
  6. Step 6: Final answer
    x = 145.46

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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.