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Finding the Fourth Proportional to 130.44, 180.09 and 86.20

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Solution

The fourth proportional to 130.44, 180.09 and 86.20 is: 119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 180.09 = 86.20 : x
  2. Step 2: Convert to fraction form
    130.44/180.09 = 86.20/x
  3. Step 3: Cross multiply
    130.44x = 180.09 × 86.20
  4. Step 4: Simplify right side
    130.44x = 15,523.31
  5. Step 5: Solve for x
    x = 15,523.31/130.44
  6. Step 6: Final answer
    x = 119.00

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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.