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Finding the Fourth Proportional to 130.22, 195.21 and 78.89

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Solution

The fourth proportional to 130.22, 195.21 and 78.89 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 195.21 = 78.89 : x
  2. Step 2: Convert to fraction form
    130.22/195.21 = 78.89/x
  3. Step 3: Cross multiply
    130.22x = 195.21 × 78.89
  4. Step 4: Simplify right side
    130.22x = 15,399.14
  5. Step 5: Solve for x
    x = 15,399.14/130.22
  6. Step 6: Final answer
    x = 118.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.