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Finding the Fourth Proportional to 107.84, 148.88 and 75.17

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Solution

The fourth proportional to 107.84, 148.88 and 75.17 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 148.88 = 75.17 : x
  2. Step 2: Convert to fraction form
    107.84/148.88 = 75.17/x
  3. Step 3: Cross multiply
    107.84x = 148.88 × 75.17
  4. Step 4: Simplify right side
    107.84x = 11,190.75
  5. Step 5: Solve for x
    x = 11,190.75/107.84
  6. Step 6: Final answer
    x = 103.78

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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.