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Finding the Fourth Proportional to 69.98, 105.00 and 31.45

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Solution

The fourth proportional to 69.98, 105.00 and 31.45 is: 47.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 105.00 = 31.45 : x
  2. Step 2: Convert to fraction form
    69.98/105.00 = 31.45/x
  3. Step 3: Cross multiply
    69.98x = 105.00 × 31.45
  4. Step 4: Simplify right side
    69.98x = 3,302.17
  5. Step 5: Solve for x
    x = 3,302.17/69.98
  6. Step 6: Final answer
    x = 47.19

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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.