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Finding the Fourth Proportional to 123.25, 170.03 and 90.45

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Solution

The fourth proportional to 123.25, 170.03 and 90.45 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.25 : 170.03 = 90.45 : x
  2. Step 2: Convert to fraction form
    123.25/170.03 = 90.45/x
  3. Step 3: Cross multiply
    123.25x = 170.03 × 90.45
  4. Step 4: Simplify right side
    123.25x = 15,378.80
  5. Step 5: Solve for x
    x = 15,378.80/123.25
  6. Step 6: Final answer
    x = 124.78

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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.