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Finding the Fourth Proportional to 130.67, 195.83 and 48.33

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Solution

The fourth proportional to 130.67, 195.83 and 48.33 is: 72.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 195.83 = 48.33 : x
  2. Step 2: Convert to fraction form
    130.67/195.83 = 48.33/x
  3. Step 3: Cross multiply
    130.67x = 195.83 × 48.33
  4. Step 4: Simplify right side
    130.67x = 9,464.58
  5. Step 5: Solve for x
    x = 9,464.58/130.67
  6. Step 6: Final answer
    x = 72.43

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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.