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Finding the Fourth Proportional to 130.58, 195.86 and 76.86

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Solution

The fourth proportional to 130.58, 195.86 and 76.86 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.58 : 195.86 = 76.86 : x
  2. Step 2: Convert to fraction form
    130.58/195.86 = 76.86/x
  3. Step 3: Cross multiply
    130.58x = 195.86 × 76.86
  4. Step 4: Simplify right side
    130.58x = 15,053.80
  5. Step 5: Solve for x
    x = 15,053.80/130.58
  6. Step 6: Final answer
    x = 115.28

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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.