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Finding the Fourth Proportional to 130.65, 195.97 and 53.59

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Solution

The fourth proportional to 130.65, 195.97 and 53.59 is: 80.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.65 : 195.97 = 53.59 : x
  2. Step 2: Convert to fraction form
    130.65/195.97 = 53.59/x
  3. Step 3: Cross multiply
    130.65x = 195.97 × 53.59
  4. Step 4: Simplify right side
    130.65x = 10,501.31
  5. Step 5: Solve for x
    x = 10,501.31/130.65
  6. Step 6: Final answer
    x = 80.38

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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.