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Finding the Fourth Proportional to 130.52, 196.12 and 69.69

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Solution

The fourth proportional to 130.52, 196.12 and 69.69 is: 104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 196.12 = 69.69 : x
  2. Step 2: Convert to fraction form
    130.52/196.12 = 69.69/x
  3. Step 3: Cross multiply
    130.52x = 196.12 × 69.69
  4. Step 4: Simplify right side
    130.52x = 13,667.60
  5. Step 5: Solve for x
    x = 13,667.60/130.52
  6. Step 6: Final answer
    x = 104.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.