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Finding the Fourth Proportional to 131.38, 181.14 and 96.46

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Solution

The fourth proportional to 131.38, 181.14 and 96.46 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 181.14 = 96.46 : x
  2. Step 2: Convert to fraction form
    131.38/181.14 = 96.46/x
  3. Step 3: Cross multiply
    131.38x = 181.14 × 96.46
  4. Step 4: Simplify right side
    131.38x = 17,472.76
  5. Step 5: Solve for x
    x = 17,472.76/131.38
  6. Step 6: Final answer
    x = 132.99

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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.