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Finding the Fourth Proportional to 134.67, 186.62 and 132.24

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Solution

The fourth proportional to 134.67, 186.62 and 132.24 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.67 : 186.62 = 132.24 : x
  2. Step 2: Convert to fraction form
    134.67/186.62 = 132.24/x
  3. Step 3: Cross multiply
    134.67x = 186.62 × 132.24
  4. Step 4: Simplify right side
    134.67x = 24,678.63
  5. Step 5: Solve for x
    x = 24,678.63/134.67
  6. Step 6: Final answer
    x = 183.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.