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Finding the Fourth Proportional to 107.74, 148.59 and 95.94

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Solution

The fourth proportional to 107.74, 148.59 and 95.94 is: 132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.74 : 148.59 = 95.94 : x
  2. Step 2: Convert to fraction form
    107.74/148.59 = 95.94/x
  3. Step 3: Cross multiply
    107.74x = 148.59 × 95.94
  4. Step 4: Simplify right side
    107.74x = 14,255.72
  5. Step 5: Solve for x
    x = 14,255.72/107.74
  6. Step 6: Final answer
    x = 132.32

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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.