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Finding the Fourth Proportional to 104.52, 156 and 92.37

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Solution

The fourth proportional to 104.52, 156 and 92.37 is: 137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.52 : 156 = 92.37 : x
  2. Step 2: Convert to fraction form
    104.52/156 = 92.37/x
  3. Step 3: Cross multiply
    104.52x = 156 × 92.37
  4. Step 4: Simplify right side
    104.52x = 14,409.72
  5. Step 5: Solve for x
    x = 14,409.72/104.52
  6. Step 6: Final answer
    x = 137.87

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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.