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Finding the Fourth Proportional to 131.29, 181.32 and 120.19

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Solution

The fourth proportional to 131.29, 181.32 and 120.19 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.29 : 181.32 = 120.19 : x
  2. Step 2: Convert to fraction form
    131.29/181.32 = 120.19/x
  3. Step 3: Cross multiply
    131.29x = 181.32 × 120.19
  4. Step 4: Simplify right side
    131.29x = 21,792.85
  5. Step 5: Solve for x
    x = 21,792.85/131.29
  6. Step 6: Final answer
    x = 165.99

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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.