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Finding the Fourth Proportional to 130.66, 195.96 and 39.33

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Solution

The fourth proportional to 130.66, 195.96 and 39.33 is: 58.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 195.96 = 39.33 : x
  2. Step 2: Convert to fraction form
    130.66/195.96 = 39.33/x
  3. Step 3: Cross multiply
    130.66x = 195.96 × 39.33
  4. Step 4: Simplify right side
    130.66x = 7,707.25
  5. Step 5: Solve for x
    x = 7,707.25/130.66
  6. Step 6: Final answer
    x = 58.99

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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.