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Finding the Fourth Proportional to 123.40, 185.77 and 106.66

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Solution

The fourth proportional to 123.40, 185.77 and 106.66 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.77 = 106.66 : x
  2. Step 2: Convert to fraction form
    123.40/185.77 = 106.66/x
  3. Step 3: Cross multiply
    123.40x = 185.77 × 106.66
  4. Step 4: Simplify right side
    123.40x = 19,813.69
  5. Step 5: Solve for x
    x = 19,813.69/123.40
  6. Step 6: Final answer
    x = 160.56

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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.