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Finding the Fourth Proportional to 131.63, 181.46 and 92.17

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Solution

The fourth proportional to 131.63, 181.46 and 92.17 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 181.46 = 92.17 : x
  2. Step 2: Convert to fraction form
    131.63/181.46 = 92.17/x
  3. Step 3: Cross multiply
    131.63x = 181.46 × 92.17
  4. Step 4: Simplify right side
    131.63x = 16,724.94
  5. Step 5: Solve for x
    x = 16,724.94/131.63
  6. Step 6: Final answer
    x = 127.06

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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.