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Finding the Fourth Proportional to 130.24, 194.95 and 69.29

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Solution

The fourth proportional to 130.24, 194.95 and 69.29 is: 103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.24 : 194.95 = 69.29 : x
  2. Step 2: Convert to fraction form
    130.24/194.95 = 69.29/x
  3. Step 3: Cross multiply
    130.24x = 194.95 × 69.29
  4. Step 4: Simplify right side
    130.24x = 13,506.94
  5. Step 5: Solve for x
    x = 13,506.94/130.24
  6. Step 6: Final answer
    x = 103.71

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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.