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Finding the Fourth Proportional to 131.27, 180.94 and 87.53

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Solution

The fourth proportional to 131.27, 180.94 and 87.53 is: 120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.27 : 180.94 = 87.53 : x
  2. Step 2: Convert to fraction form
    131.27/180.94 = 87.53/x
  3. Step 3: Cross multiply
    131.27x = 180.94 × 87.53
  4. Step 4: Simplify right side
    131.27x = 15,836.34
  5. Step 5: Solve for x
    x = 15,836.34/131.27
  6. Step 6: Final answer
    x = 120.64

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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.