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Finding the Fourth Proportional to 130.86, 196.38 and 62.38

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Solution

The fourth proportional to 130.86, 196.38 and 62.38 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 196.38 = 62.38 : x
  2. Step 2: Convert to fraction form
    130.86/196.38 = 62.38/x
  3. Step 3: Cross multiply
    130.86x = 196.38 × 62.38
  4. Step 4: Simplify right side
    130.86x = 12,250.43
  5. Step 5: Solve for x
    x = 12,250.43/130.86
  6. Step 6: Final answer
    x = 93.61

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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.