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Finding the Fourth Proportional to 133.09, 182.46 and 130.66

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Solution

The fourth proportional to 133.09, 182.46 and 130.66 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 182.46 = 130.66 : x
  2. Step 2: Convert to fraction form
    133.09/182.46 = 130.66/x
  3. Step 3: Cross multiply
    133.09x = 182.46 × 130.66
  4. Step 4: Simplify right side
    133.09x = 23,839.15
  5. Step 5: Solve for x
    x = 23,839.15/133.09
  6. Step 6: Final answer
    x = 179.13

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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.