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Finding the Fourth Proportional to 130.06, 195.14 and 47.80

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Solution

The fourth proportional to 130.06, 195.14 and 47.80 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 195.14 = 47.80 : x
  2. Step 2: Convert to fraction form
    130.06/195.14 = 47.80/x
  3. Step 3: Cross multiply
    130.06x = 195.14 × 47.80
  4. Step 4: Simplify right side
    130.06x = 9,326.69
  5. Step 5: Solve for x
    x = 9,326.69/130.06
  6. Step 6: Final answer
    x = 71.71

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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.