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Finding the Fourth Proportional to 130.50, 180.05 and 81.41

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Solution

The fourth proportional to 130.50, 180.05 and 81.41 is: 112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 180.05 = 81.41 : x
  2. Step 2: Convert to fraction form
    130.50/180.05 = 81.41/x
  3. Step 3: Cross multiply
    130.50x = 180.05 × 81.41
  4. Step 4: Simplify right side
    130.50x = 14,656.56
  5. Step 5: Solve for x
    x = 14,656.56/130.50
  6. Step 6: Final answer
    x = 112.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.