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Finding the Fourth Proportional to 131.76, 182.16 and 126.06

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Solution

The fourth proportional to 131.76, 182.16 and 126.06 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 182.16 = 126.06 : x
  2. Step 2: Convert to fraction form
    131.76/182.16 = 126.06/x
  3. Step 3: Cross multiply
    131.76x = 182.16 × 126.06
  4. Step 4: Simplify right side
    131.76x = 22,963.09
  5. Step 5: Solve for x
    x = 22,963.09/131.76
  6. Step 6: Final answer
    x = 174.28

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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.