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Finding the Fourth Proportional to 107.64, 148.24 and 86.84

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Solution

The fourth proportional to 107.64, 148.24 and 86.84 is: 119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 148.24 = 86.84 : x
  2. Step 2: Convert to fraction form
    107.64/148.24 = 86.84/x
  3. Step 3: Cross multiply
    107.64x = 148.24 × 86.84
  4. Step 4: Simplify right side
    107.64x = 12,873.16
  5. Step 5: Solve for x
    x = 12,873.16/107.64
  6. Step 6: Final answer
    x = 119.59

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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.