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Finding the Fourth Proportional to 154.99, 213.64 and 105.18

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Solution

The fourth proportional to 154.99, 213.64 and 105.18 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 213.64 = 105.18 : x
  2. Step 2: Convert to fraction form
    154.99/213.64 = 105.18/x
  3. Step 3: Cross multiply
    154.99x = 213.64 × 105.18
  4. Step 4: Simplify right side
    154.99x = 22,470.40
  5. Step 5: Solve for x
    x = 22,470.40/154.99
  6. Step 6: Final answer
    x = 144.98

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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.