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Finding the Fourth Proportional to 130.29, 195.37 and 65.15

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Solution

The fourth proportional to 130.29, 195.37 and 65.15 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.29 : 195.37 = 65.15 : x
  2. Step 2: Convert to fraction form
    130.29/195.37 = 65.15/x
  3. Step 3: Cross multiply
    130.29x = 195.37 × 65.15
  4. Step 4: Simplify right side
    130.29x = 12,728.36
  5. Step 5: Solve for x
    x = 12,728.36/130.29
  6. Step 6: Final answer
    x = 97.69

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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.