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Finding the Fourth Proportional to 123.34, 169.24 and 112.40

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Solution

The fourth proportional to 123.34, 169.24 and 112.40 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 169.24 = 112.40 : x
  2. Step 2: Convert to fraction form
    123.34/169.24 = 112.40/x
  3. Step 3: Cross multiply
    123.34x = 169.24 × 112.40
  4. Step 4: Simplify right side
    123.34x = 19,022.58
  5. Step 5: Solve for x
    x = 19,022.58/123.34
  6. Step 6: Final answer
    x = 154.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.