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Finding the Fourth Proportional to 123.36, 170.26 and 76.74

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Solution

The fourth proportional to 123.36, 170.26 and 76.74 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 170.26 = 76.74 : x
  2. Step 2: Convert to fraction form
    123.36/170.26 = 76.74/x
  3. Step 3: Cross multiply
    123.36x = 170.26 × 76.74
  4. Step 4: Simplify right side
    123.36x = 13,065.75
  5. Step 5: Solve for x
    x = 13,065.75/123.36
  6. Step 6: Final answer
    x = 105.92

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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.