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Finding the Fourth Proportional to 123.66, 171.54 and 120.69

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Solution

The fourth proportional to 123.66, 171.54 and 120.69 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 171.54 = 120.69 : x
  2. Step 2: Convert to fraction form
    123.66/171.54 = 120.69/x
  3. Step 3: Cross multiply
    123.66x = 171.54 × 120.69
  4. Step 4: Simplify right side
    123.66x = 20,703.16
  5. Step 5: Solve for x
    x = 20,703.16/123.66
  6. Step 6: Final answer
    x = 167.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.