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Finding the Fourth Proportional to 130.64, 195.86 and 69.83

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Solution

The fourth proportional to 130.64, 195.86 and 69.83 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 195.86 = 69.83 : x
  2. Step 2: Convert to fraction form
    130.64/195.86 = 69.83/x
  3. Step 3: Cross multiply
    130.64x = 195.86 × 69.83
  4. Step 4: Simplify right side
    130.64x = 13,676.10
  5. Step 5: Solve for x
    x = 13,676.10/130.64
  6. Step 6: Final answer
    x = 104.68

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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.