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Finding the Fourth Proportional to 134.72, 186.12 and 120.02

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Solution

The fourth proportional to 134.72, 186.12 and 120.02 is: 165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.72 : 186.12 = 120.02 : x
  2. Step 2: Convert to fraction form
    134.72/186.12 = 120.02/x
  3. Step 3: Cross multiply
    134.72x = 186.12 × 120.02
  4. Step 4: Simplify right side
    134.72x = 22,338.59
  5. Step 5: Solve for x
    x = 22,338.59/134.72
  6. Step 6: Final answer
    x = 165.81

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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.