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Finding the Fourth Proportional to 180.61, 270.93 and 83.11

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Solution

The fourth proportional to 180.61, 270.93 and 83.11 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.61 : 270.93 = 83.11 : x
  2. Step 2: Convert to fraction form
    180.61/270.93 = 83.11/x
  3. Step 3: Cross multiply
    180.61x = 270.93 × 83.11
  4. Step 4: Simplify right side
    180.61x = 22,516.99
  5. Step 5: Solve for x
    x = 22,516.99/180.61
  6. Step 6: Final answer
    x = 124.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.