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Finding the Fourth Proportional to 103.52, 155.44 and 76.64

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Solution

The fourth proportional to 103.52, 155.44 and 76.64 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 155.44 = 76.64 : x
  2. Step 2: Convert to fraction form
    103.52/155.44 = 76.64/x
  3. Step 3: Cross multiply
    103.52x = 155.44 × 76.64
  4. Step 4: Simplify right side
    103.52x = 11,912.92
  5. Step 5: Solve for x
    x = 11,912.92/103.52
  6. Step 6: Final answer
    x = 115.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.