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Finding the Fourth Proportional to 123.46, 186.11 and 106.48

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Solution

The fourth proportional to 123.46, 186.11 and 106.48 is: 160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.46 : 186.11 = 106.48 : x
  2. Step 2: Convert to fraction form
    123.46/186.11 = 106.48/x
  3. Step 3: Cross multiply
    123.46x = 186.11 × 106.48
  4. Step 4: Simplify right side
    123.46x = 19,816.99
  5. Step 5: Solve for x
    x = 19,816.99/123.46
  6. Step 6: Final answer
    x = 160.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.