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Finding the Fourth Proportional to 135.59, 186.54 and 119.76

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Solution

The fourth proportional to 135.59, 186.54 and 119.76 is: 164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.59 : 186.54 = 119.76 : x
  2. Step 2: Convert to fraction form
    135.59/186.54 = 119.76/x
  3. Step 3: Cross multiply
    135.59x = 186.54 × 119.76
  4. Step 4: Simplify right side
    135.59x = 22,340.04
  5. Step 5: Solve for x
    x = 22,340.04/135.59
  6. Step 6: Final answer
    x = 164.76

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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.