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Finding the Fourth Proportional to 123.08, 169.95 and 90.27

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Solution

The fourth proportional to 123.08, 169.95 and 90.27 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.08 : 169.95 = 90.27 : x
  2. Step 2: Convert to fraction form
    123.08/169.95 = 90.27/x
  3. Step 3: Cross multiply
    123.08x = 169.95 × 90.27
  4. Step 4: Simplify right side
    123.08x = 15,341.39
  5. Step 5: Solve for x
    x = 15,341.39/123.08
  6. Step 6: Final answer
    x = 124.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.