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Finding the Fourth Proportional to 107.38, 148.08 and 79.72

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Solution

The fourth proportional to 107.38, 148.08 and 79.72 is: 109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 148.08 = 79.72 : x
  2. Step 2: Convert to fraction form
    107.38/148.08 = 79.72/x
  3. Step 3: Cross multiply
    107.38x = 148.08 × 79.72
  4. Step 4: Simplify right side
    107.38x = 11,804.94
  5. Step 5: Solve for x
    x = 11,804.94/107.38
  6. Step 6: Final answer
    x = 109.94

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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.