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Finding the Fourth Proportional to 130.46, 195.77 and 102.87

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Solution

The fourth proportional to 130.46, 195.77 and 102.87 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 195.77 = 102.87 : x
  2. Step 2: Convert to fraction form
    130.46/195.77 = 102.87/x
  3. Step 3: Cross multiply
    130.46x = 195.77 × 102.87
  4. Step 4: Simplify right side
    130.46x = 20,138.54
  5. Step 5: Solve for x
    x = 20,138.54/130.46
  6. Step 6: Final answer
    x = 154.36

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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.