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Finding the Fourth Proportional to 131.25, 180.85 and 101.56

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Solution

The fourth proportional to 131.25, 180.85 and 101.56 is: 139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 180.85 = 101.56 : x
  2. Step 2: Convert to fraction form
    131.25/180.85 = 101.56/x
  3. Step 3: Cross multiply
    131.25x = 180.85 × 101.56
  4. Step 4: Simplify right side
    131.25x = 18,366.85
  5. Step 5: Solve for x
    x = 18,366.85/131.25
  6. Step 6: Final answer
    x = 139.94

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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.