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Finding the Fourth Proportional to 130.15, 195.12 and 65.11

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Solution

The fourth proportional to 130.15, 195.12 and 65.11 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.15 : 195.12 = 65.11 : x
  2. Step 2: Convert to fraction form
    130.15/195.12 = 65.11/x
  3. Step 3: Cross multiply
    130.15x = 195.12 × 65.11
  4. Step 4: Simplify right side
    130.15x = 12,704.18
  5. Step 5: Solve for x
    x = 12,704.18/130.15
  6. Step 6: Final answer
    x = 97.62

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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.