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Finding the Fourth Proportional to 130.57, 195.84 and 34.38

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Solution

The fourth proportional to 130.57, 195.84 and 34.38 is: 51.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 195.84 = 34.38 : x
  2. Step 2: Convert to fraction form
    130.57/195.84 = 34.38/x
  3. Step 3: Cross multiply
    130.57x = 195.84 × 34.38
  4. Step 4: Simplify right side
    130.57x = 6,732.98
  5. Step 5: Solve for x
    x = 6,732.98/130.57
  6. Step 6: Final answer
    x = 51.57

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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.