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Finding the Fourth Proportional to 130.64, 195.98 and 75.82

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Solution

The fourth proportional to 130.64, 195.98 and 75.82 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 195.98 = 75.82 : x
  2. Step 2: Convert to fraction form
    130.64/195.98 = 75.82/x
  3. Step 3: Cross multiply
    130.64x = 195.98 × 75.82
  4. Step 4: Simplify right side
    130.64x = 14,858.93
  5. Step 5: Solve for x
    x = 14,858.93/130.64
  6. Step 6: Final answer
    x = 113.74

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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.