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Finding the Fourth Proportional to 107.82, 148.75 and 76.79

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Solution

The fourth proportional to 107.82, 148.75 and 76.79 is: 105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 148.75 = 76.79 : x
  2. Step 2: Convert to fraction form
    107.82/148.75 = 76.79/x
  3. Step 3: Cross multiply
    107.82x = 148.75 × 76.79
  4. Step 4: Simplify right side
    107.82x = 11,422.51
  5. Step 5: Solve for x
    x = 11,422.51/107.82
  6. Step 6: Final answer
    x = 105.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.