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Finding the Fourth Proportional to 130.31, 195.21 and 101.31

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Solution

The fourth proportional to 130.31, 195.21 and 101.31 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 195.21 = 101.31 : x
  2. Step 2: Convert to fraction form
    130.31/195.21 = 101.31/x
  3. Step 3: Cross multiply
    130.31x = 195.21 × 101.31
  4. Step 4: Simplify right side
    130.31x = 19,776.73
  5. Step 5: Solve for x
    x = 19,776.73/130.31
  6. Step 6: Final answer
    x = 151.77

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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.