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Finding the Fourth Proportional to 90.82, 125.32 and 74.42

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Solution

The fourth proportional to 90.82, 125.32 and 74.42 is: 102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 125.32 = 74.42 : x
  2. Step 2: Convert to fraction form
    90.82/125.32 = 74.42/x
  3. Step 3: Cross multiply
    90.82x = 125.32 × 74.42
  4. Step 4: Simplify right side
    90.82x = 9,326.31
  5. Step 5: Solve for x
    x = 9,326.31/90.82
  6. Step 6: Final answer
    x = 102.69

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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.