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Finding the Fourth Proportional to 131.94, 180.73 and 130.50

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Solution

The fourth proportional to 131.94, 180.73 and 130.50 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 180.73 = 130.50 : x
  2. Step 2: Convert to fraction form
    131.94/180.73 = 130.50/x
  3. Step 3: Cross multiply
    131.94x = 180.73 × 130.50
  4. Step 4: Simplify right side
    131.94x = 23,585.27
  5. Step 5: Solve for x
    x = 23,585.27/131.94
  6. Step 6: Final answer
    x = 178.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.