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Finding the Fourth Proportional to 107.87, 148.23 and 94.50

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Solution

The fourth proportional to 107.87, 148.23 and 94.50 is: 129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 148.23 = 94.50 : x
  2. Step 2: Convert to fraction form
    107.87/148.23 = 94.50/x
  3. Step 3: Cross multiply
    107.87x = 148.23 × 94.50
  4. Step 4: Simplify right side
    107.87x = 14,007.74
  5. Step 5: Solve for x
    x = 14,007.74/107.87
  6. Step 6: Final answer
    x = 129.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.