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Finding the Fourth Proportional to 131.64, 181.72 and 82.54

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Solution

The fourth proportional to 131.64, 181.72 and 82.54 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.64 : 181.72 = 82.54 : x
  2. Step 2: Convert to fraction form
    131.64/181.72 = 82.54/x
  3. Step 3: Cross multiply
    131.64x = 181.72 × 82.54
  4. Step 4: Simplify right side
    131.64x = 14,999.38
  5. Step 5: Solve for x
    x = 14,999.38/131.64
  6. Step 6: Final answer
    x = 113.95

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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.