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Finding the Fourth Proportional to 131.46, 181.40 and 81.69

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Solution

The fourth proportional to 131.46, 181.40 and 81.69 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 181.40 = 81.69 : x
  2. Step 2: Convert to fraction form
    131.46/181.40 = 81.69/x
  3. Step 3: Cross multiply
    131.46x = 181.40 × 81.69
  4. Step 4: Simplify right side
    131.46x = 14,818.16
  5. Step 5: Solve for x
    x = 14,818.16/131.46
  6. Step 6: Final answer
    x = 112.72

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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.