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Finding the Fourth Proportional to 154.36, 212.92 and 123.24

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Solution

The fourth proportional to 154.36, 212.92 and 123.24 is: 169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 212.92 = 123.24 : x
  2. Step 2: Convert to fraction form
    154.36/212.92 = 123.24/x
  3. Step 3: Cross multiply
    154.36x = 212.92 × 123.24
  4. Step 4: Simplify right side
    154.36x = 26,240.26
  5. Step 5: Solve for x
    x = 26,240.26/154.36
  6. Step 6: Final answer
    x = 169.99

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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.