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Finding the Fourth Proportional to 107.84, 148.56 and 75.04

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Solution

The fourth proportional to 107.84, 148.56 and 75.04 is: 103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 148.56 = 75.04 : x
  2. Step 2: Convert to fraction form
    107.84/148.56 = 75.04/x
  3. Step 3: Cross multiply
    107.84x = 148.56 × 75.04
  4. Step 4: Simplify right side
    107.84x = 11,147.94
  5. Step 5: Solve for x
    x = 11,147.94/107.84
  6. Step 6: Final answer
    x = 103.37

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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.