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Finding the Fourth Proportional to 134.46, 184.78 and 105.30

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Solution

The fourth proportional to 134.46, 184.78 and 105.30 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.46 : 184.78 = 105.30 : x
  2. Step 2: Convert to fraction form
    134.46/184.78 = 105.30/x
  3. Step 3: Cross multiply
    134.46x = 184.78 × 105.30
  4. Step 4: Simplify right side
    134.46x = 19,457.47
  5. Step 5: Solve for x
    x = 19,457.47/134.46
  6. Step 6: Final answer
    x = 144.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.