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Finding the Fourth Proportional to 130.12, 195.18 and 127.24

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Solution

The fourth proportional to 130.12, 195.18 and 127.24 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 195.18 = 127.24 : x
  2. Step 2: Convert to fraction form
    130.12/195.18 = 127.24/x
  3. Step 3: Cross multiply
    130.12x = 195.18 × 127.24
  4. Step 4: Simplify right side
    130.12x = 24,834.70
  5. Step 5: Solve for x
    x = 24,834.70/130.12
  6. Step 6: Final answer
    x = 190.86

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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.