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Finding the Fourth Proportional to 107.66, 148.75 and 76.59

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Solution

The fourth proportional to 107.66, 148.75 and 76.59 is: 105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 148.75 = 76.59 : x
  2. Step 2: Convert to fraction form
    107.66/148.75 = 76.59/x
  3. Step 3: Cross multiply
    107.66x = 148.75 × 76.59
  4. Step 4: Simplify right side
    107.66x = 11,392.57
  5. Step 5: Solve for x
    x = 11,392.57/107.66
  6. Step 6: Final answer
    x = 105.82

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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.