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Finding the Fourth Proportional to 69.83, 104.70 and 47.02

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Solution

The fourth proportional to 69.83, 104.70 and 47.02 is: 70.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.83 : 104.70 = 47.02 : x
  2. Step 2: Convert to fraction form
    69.83/104.70 = 47.02/x
  3. Step 3: Cross multiply
    69.83x = 104.70 × 47.02
  4. Step 4: Simplify right side
    69.83x = 4,922.99
  5. Step 5: Solve for x
    x = 4,922.99/69.83
  6. Step 6: Final answer
    x = 70.50

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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.