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Finding the Fourth Proportional to 90.93, 125.49 and 54.09

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Solution

The fourth proportional to 90.93, 125.49 and 54.09 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.93 : 125.49 = 54.09 : x
  2. Step 2: Convert to fraction form
    90.93/125.49 = 54.09/x
  3. Step 3: Cross multiply
    90.93x = 125.49 × 54.09
  4. Step 4: Simplify right side
    90.93x = 6,788.22
  5. Step 5: Solve for x
    x = 6,788.22/90.93
  6. Step 6: Final answer
    x = 74.65

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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.