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Finding the Fourth Proportional to 107.79, 148.83 and 75.12

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Solution

The fourth proportional to 107.79, 148.83 and 75.12 is: 103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.79 : 148.83 = 75.12 : x
  2. Step 2: Convert to fraction form
    107.79/148.83 = 75.12/x
  3. Step 3: Cross multiply
    107.79x = 148.83 × 75.12
  4. Step 4: Simplify right side
    107.79x = 11,180.11
  5. Step 5: Solve for x
    x = 11,180.11/107.79
  6. Step 6: Final answer
    x = 103.72

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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.