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Finding the Fourth Proportional to 135.92, 187.65 and 104.78

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Solution

The fourth proportional to 135.92, 187.65 and 104.78 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 187.65 = 104.78 : x
  2. Step 2: Convert to fraction form
    135.92/187.65 = 104.78/x
  3. Step 3: Cross multiply
    135.92x = 187.65 × 104.78
  4. Step 4: Simplify right side
    135.92x = 19,661.03
  5. Step 5: Solve for x
    x = 19,661.03/135.92
  6. Step 6: Final answer
    x = 144.66

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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.