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Finding the Fourth Proportional to 131.61, 181.26 and 121.88

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Solution

The fourth proportional to 131.61, 181.26 and 121.88 is: 167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.61 : 181.26 = 121.88 : x
  2. Step 2: Convert to fraction form
    131.61/181.26 = 121.88/x
  3. Step 3: Cross multiply
    131.61x = 181.26 × 121.88
  4. Step 4: Simplify right side
    131.61x = 22,091.06
  5. Step 5: Solve for x
    x = 22,091.06/131.61
  6. Step 6: Final answer
    x = 167.85

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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.