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Finding the Fourth Proportional to 130.27, 195.49 and 49.11

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Solution

The fourth proportional to 130.27, 195.49 and 49.11 is: 73.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.27 : 195.49 = 49.11 : x
  2. Step 2: Convert to fraction form
    130.27/195.49 = 49.11/x
  3. Step 3: Cross multiply
    130.27x = 195.49 × 49.11
  4. Step 4: Simplify right side
    130.27x = 9,600.51
  5. Step 5: Solve for x
    x = 9,600.51/130.27
  6. Step 6: Final answer
    x = 73.70

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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.