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Finding the Fourth Proportional to 107.62, 148.44 and 74.88

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Solution

The fourth proportional to 107.62, 148.44 and 74.88 is: 103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 148.44 = 74.88 : x
  2. Step 2: Convert to fraction form
    107.62/148.44 = 74.88/x
  3. Step 3: Cross multiply
    107.62x = 148.44 × 74.88
  4. Step 4: Simplify right side
    107.62x = 11,115.19
  5. Step 5: Solve for x
    x = 11,115.19/107.62
  6. Step 6: Final answer
    x = 103.28

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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.