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Finding the Fourth Proportional to 184.34, 254.42 and 105.68

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Solution

The fourth proportional to 184.34, 254.42 and 105.68 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.34 : 254.42 = 105.68 : x
  2. Step 2: Convert to fraction form
    184.34/254.42 = 105.68/x
  3. Step 3: Cross multiply
    184.34x = 254.42 × 105.68
  4. Step 4: Simplify right side
    184.34x = 26,887.61
  5. Step 5: Solve for x
    x = 26,887.61/184.34
  6. Step 6: Final answer
    x = 145.86

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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.