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Finding the Fourth Proportional to 130.80, 196.24 and 79.48

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Solution

The fourth proportional to 130.80, 196.24 and 79.48 is: 119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.80 : 196.24 = 79.48 : x
  2. Step 2: Convert to fraction form
    130.80/196.24 = 79.48/x
  3. Step 3: Cross multiply
    130.80x = 196.24 × 79.48
  4. Step 4: Simplify right side
    130.80x = 15,597.16
  5. Step 5: Solve for x
    x = 15,597.16/130.80
  6. Step 6: Final answer
    x = 119.24

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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.