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Finding the Fourth Proportional to 90.75, 125.34 and 61.59

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Solution

The fourth proportional to 90.75, 125.34 and 61.59 is: 85.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 125.34 = 61.59 : x
  2. Step 2: Convert to fraction form
    90.75/125.34 = 61.59/x
  3. Step 3: Cross multiply
    90.75x = 125.34 × 61.59
  4. Step 4: Simplify right side
    90.75x = 7,719.69
  5. Step 5: Solve for x
    x = 7,719.69/90.75
  6. Step 6: Final answer
    x = 85.07

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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.