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Finding the Fourth Proportional to 69.08, 103.62 and 32.99

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Solution

The fourth proportional to 69.08, 103.62 and 32.99 is: 49.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.08 : 103.62 = 32.99 : x
  2. Step 2: Convert to fraction form
    69.08/103.62 = 32.99/x
  3. Step 3: Cross multiply
    69.08x = 103.62 × 32.99
  4. Step 4: Simplify right side
    69.08x = 3,417.91
  5. Step 5: Solve for x
    x = 3,417.91/69.08
  6. Step 6: Final answer
    x = 49.48

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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.