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Finding the Fourth Proportional to 69.02, 103.60 and 32.98

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Solution

The fourth proportional to 69.02, 103.60 and 32.98 is: 49.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 103.60 = 32.98 : x
  2. Step 2: Convert to fraction form
    69.02/103.60 = 32.98/x
  3. Step 3: Cross multiply
    69.02x = 103.60 × 32.98
  4. Step 4: Simplify right side
    69.02x = 3,416.73
  5. Step 5: Solve for x
    x = 3,416.73/69.02
  6. Step 6: Final answer
    x = 49.50

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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.