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Finding the Fourth Proportional to 147.86, 204.05 and 82.37

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Solution

The fourth proportional to 147.86, 204.05 and 82.37 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 204.05 = 82.37 : x
  2. Step 2: Convert to fraction form
    147.86/204.05 = 82.37/x
  3. Step 3: Cross multiply
    147.86x = 204.05 × 82.37
  4. Step 4: Simplify right side
    147.86x = 16,806.17
  5. Step 5: Solve for x
    x = 16,806.17/147.86
  6. Step 6: Final answer
    x = 113.67

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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.