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Finding the Fourth Proportional to 130.34, 195.57 and 72.61

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Solution

The fourth proportional to 130.34, 195.57 and 72.61 is: 108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 195.57 = 72.61 : x
  2. Step 2: Convert to fraction form
    130.34/195.57 = 72.61/x
  3. Step 3: Cross multiply
    130.34x = 195.57 × 72.61
  4. Step 4: Simplify right side
    130.34x = 14,200.34
  5. Step 5: Solve for x
    x = 14,200.34/130.34
  6. Step 6: Final answer
    x = 108.95

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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.