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Finding the Fourth Proportional to 154.14, 212.67 and 123.03

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Solution

The fourth proportional to 154.14, 212.67 and 123.03 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 212.67 = 123.03 : x
  2. Step 2: Convert to fraction form
    154.14/212.67 = 123.03/x
  3. Step 3: Cross multiply
    154.14x = 212.67 × 123.03
  4. Step 4: Simplify right side
    154.14x = 26,164.79
  5. Step 5: Solve for x
    x = 26,164.79/154.14
  6. Step 6: Final answer
    x = 169.75

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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.