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Finding the Fourth Proportional to 90.46, 134.87 and 83.62

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Solution

The fourth proportional to 90.46, 134.87 and 83.62 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.46 : 134.87 = 83.62 : x
  2. Step 2: Convert to fraction form
    90.46/134.87 = 83.62/x
  3. Step 3: Cross multiply
    90.46x = 134.87 × 83.62
  4. Step 4: Simplify right side
    90.46x = 11,277.83
  5. Step 5: Solve for x
    x = 11,277.83/90.46
  6. Step 6: Final answer
    x = 124.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.