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Finding the Fourth Proportional to 107.48, 148.36 and 63.84

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Solution

The fourth proportional to 107.48, 148.36 and 63.84 is: 88.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.48 : 148.36 = 63.84 : x
  2. Step 2: Convert to fraction form
    107.48/148.36 = 63.84/x
  3. Step 3: Cross multiply
    107.48x = 148.36 × 63.84
  4. Step 4: Simplify right side
    107.48x = 9,471.30
  5. Step 5: Solve for x
    x = 9,471.30/107.48
  6. Step 6: Final answer
    x = 88.12

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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.