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Finding the Fourth Proportional to 130.09, 195.15 and 44.59

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Solution

The fourth proportional to 130.09, 195.15 and 44.59 is: 66.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.09 : 195.15 = 44.59 : x
  2. Step 2: Convert to fraction form
    130.09/195.15 = 44.59/x
  3. Step 3: Cross multiply
    130.09x = 195.15 × 44.59
  4. Step 4: Simplify right side
    130.09x = 8,701.74
  5. Step 5: Solve for x
    x = 8,701.74/130.09
  6. Step 6: Final answer
    x = 66.89

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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.