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Finding the Fourth Proportional to 134.02, 183.71 and 132.13

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Solution

The fourth proportional to 134.02, 183.71 and 132.13 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.02 : 183.71 = 132.13 : x
  2. Step 2: Convert to fraction form
    134.02/183.71 = 132.13/x
  3. Step 3: Cross multiply
    134.02x = 183.71 × 132.13
  4. Step 4: Simplify right side
    134.02x = 24,273.60
  5. Step 5: Solve for x
    x = 24,273.60/134.02
  6. Step 6: Final answer
    x = 181.12

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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.