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Finding the Fourth Proportional to 107.32, 148.12 and 74.72

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Solution

The fourth proportional to 107.32, 148.12 and 74.72 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.32 : 148.12 = 74.72 : x
  2. Step 2: Convert to fraction form
    107.32/148.12 = 74.72/x
  3. Step 3: Cross multiply
    107.32x = 148.12 × 74.72
  4. Step 4: Simplify right side
    107.32x = 11,067.53
  5. Step 5: Solve for x
    x = 11,067.53/107.32
  6. Step 6: Final answer
    x = 103.13

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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.