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Finding the Fourth Proportional to 90.92, 125.38 and 61.40

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Solution

The fourth proportional to 90.92, 125.38 and 61.40 is: 84.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.92 : 125.38 = 61.40 : x
  2. Step 2: Convert to fraction form
    90.92/125.38 = 61.40/x
  3. Step 3: Cross multiply
    90.92x = 125.38 × 61.40
  4. Step 4: Simplify right side
    90.92x = 7,698.33
  5. Step 5: Solve for x
    x = 7,698.33/90.92
  6. Step 6: Final answer
    x = 84.67

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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.