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Finding the Fourth Proportional to 154.59, 213.04 and 105.38

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Solution

The fourth proportional to 154.59, 213.04 and 105.38 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.59 : 213.04 = 105.38 : x
  2. Step 2: Convert to fraction form
    154.59/213.04 = 105.38/x
  3. Step 3: Cross multiply
    154.59x = 213.04 × 105.38
  4. Step 4: Simplify right side
    154.59x = 22,449.63
  5. Step 5: Solve for x
    x = 22,449.63/154.59
  6. Step 6: Final answer
    x = 145.23

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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.