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Finding the Fourth Proportional to 131.89, 182.07 and 88.23

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Solution

The fourth proportional to 131.89, 182.07 and 88.23 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 182.07 = 88.23 : x
  2. Step 2: Convert to fraction form
    131.89/182.07 = 88.23/x
  3. Step 3: Cross multiply
    131.89x = 182.07 × 88.23
  4. Step 4: Simplify right side
    131.89x = 16,064.04
  5. Step 5: Solve for x
    x = 16,064.04/131.89
  6. Step 6: Final answer
    x = 121.80

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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.