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Finding the Fourth Proportional to 123.14, 169.98 and 90.65

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Solution

The fourth proportional to 123.14, 169.98 and 90.65 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 169.98 = 90.65 : x
  2. Step 2: Convert to fraction form
    123.14/169.98 = 90.65/x
  3. Step 3: Cross multiply
    123.14x = 169.98 × 90.65
  4. Step 4: Simplify right side
    123.14x = 15,408.69
  5. Step 5: Solve for x
    x = 15,408.69/123.14
  6. Step 6: Final answer
    x = 125.13

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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.