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Finding the Fourth Proportional to 184.07, 275.92 and 68.46

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Solution

The fourth proportional to 184.07, 275.92 and 68.46 is: 102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.07 : 275.92 = 68.46 : x
  2. Step 2: Convert to fraction form
    184.07/275.92 = 68.46/x
  3. Step 3: Cross multiply
    184.07x = 275.92 × 68.46
  4. Step 4: Simplify right side
    184.07x = 18,889.48
  5. Step 5: Solve for x
    x = 18,889.48/184.07
  6. Step 6: Final answer
    x = 102.62

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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.