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Finding the Fourth Proportional to 131.87, 182.03 and 90.44

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Solution

The fourth proportional to 131.87, 182.03 and 90.44 is: 124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.87 : 182.03 = 90.44 : x
  2. Step 2: Convert to fraction form
    131.87/182.03 = 90.44/x
  3. Step 3: Cross multiply
    131.87x = 182.03 × 90.44
  4. Step 4: Simplify right side
    131.87x = 16,461.43
  5. Step 5: Solve for x
    x = 16,461.43/131.87
  6. Step 6: Final answer
    x = 124.84

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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.