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Finding the Fourth Proportional to 130.14, 195.19 and 86.32

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Solution

The fourth proportional to 130.14, 195.19 and 86.32 is: 129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 195.19 = 86.32 : x
  2. Step 2: Convert to fraction form
    130.14/195.19 = 86.32/x
  3. Step 3: Cross multiply
    130.14x = 195.19 × 86.32
  4. Step 4: Simplify right side
    130.14x = 16,848.80
  5. Step 5: Solve for x
    x = 16,848.80/130.14
  6. Step 6: Final answer
    x = 129.47

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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.