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Finding the Fourth Proportional to 154.86, 213.74 and 123.82

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Solution

The fourth proportional to 154.86, 213.74 and 123.82 is: 170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 213.74 = 123.82 : x
  2. Step 2: Convert to fraction form
    154.86/213.74 = 123.82/x
  3. Step 3: Cross multiply
    154.86x = 213.74 × 123.82
  4. Step 4: Simplify right side
    154.86x = 26,465.29
  5. Step 5: Solve for x
    x = 26,465.29/154.86
  6. Step 6: Final answer
    x = 170.90

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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.