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Finding the Fourth Proportional to 130.35, 195.33 and 98.31

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Solution

The fourth proportional to 130.35, 195.33 and 98.31 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.35 : 195.33 = 98.31 : x
  2. Step 2: Convert to fraction form
    130.35/195.33 = 98.31/x
  3. Step 3: Cross multiply
    130.35x = 195.33 × 98.31
  4. Step 4: Simplify right side
    130.35x = 19,202.89
  5. Step 5: Solve for x
    x = 19,202.89/130.35
  6. Step 6: Final answer
    x = 147.32

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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.