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Finding the Fourth Proportional to 123.14, 169.94 and 70.69

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Solution

The fourth proportional to 123.14, 169.94 and 70.69 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 169.94 = 70.69 : x
  2. Step 2: Convert to fraction form
    123.14/169.94 = 70.69/x
  3. Step 3: Cross multiply
    123.14x = 169.94 × 70.69
  4. Step 4: Simplify right side
    123.14x = 12,012.28
  5. Step 5: Solve for x
    x = 12,012.28/123.14
  6. Step 6: Final answer
    x = 97.55

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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.