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Finding the Fourth Proportional to 107.41, 147.87 and 96.47

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Solution

The fourth proportional to 107.41, 147.87 and 96.47 is: 132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.41 : 147.87 = 96.47 : x
  2. Step 2: Convert to fraction form
    107.41/147.87 = 96.47/x
  3. Step 3: Cross multiply
    107.41x = 147.87 × 96.47
  4. Step 4: Simplify right side
    107.41x = 14,265.02
  5. Step 5: Solve for x
    x = 14,265.02/107.41
  6. Step 6: Final answer
    x = 132.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.