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Finding the Fourth Proportional to 184.11, 254.10 and 106.48

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Solution

The fourth proportional to 184.11, 254.10 and 106.48 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.11 : 254.10 = 106.48 : x
  2. Step 2: Convert to fraction form
    184.11/254.10 = 106.48/x
  3. Step 3: Cross multiply
    184.11x = 254.10 × 106.48
  4. Step 4: Simplify right side
    184.11x = 27,056.57
  5. Step 5: Solve for x
    x = 27,056.57/184.11
  6. Step 6: Final answer
    x = 146.96

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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.