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Finding the Fourth Proportional to 107.28, 148.05 and 63.66

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Solution

The fourth proportional to 107.28, 148.05 and 63.66 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 148.05 = 63.66 : x
  2. Step 2: Convert to fraction form
    107.28/148.05 = 63.66/x
  3. Step 3: Cross multiply
    107.28x = 148.05 × 63.66
  4. Step 4: Simplify right side
    107.28x = 9,424.86
  5. Step 5: Solve for x
    x = 9,424.86/107.28
  6. Step 6: Final answer
    x = 87.85

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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.