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Finding the Fourth Proportional to 123.91, 170.98 and 68.64

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Solution

The fourth proportional to 123.91, 170.98 and 68.64 is: 94.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 170.98 = 68.64 : x
  2. Step 2: Convert to fraction form
    123.91/170.98 = 68.64/x
  3. Step 3: Cross multiply
    123.91x = 170.98 × 68.64
  4. Step 4: Simplify right side
    123.91x = 11,736.07
  5. Step 5: Solve for x
    x = 11,736.07/123.91
  6. Step 6: Final answer
    x = 94.71

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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.