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Finding the Fourth Proportional to 69.71, 104.49 and 34.99

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Solution

The fourth proportional to 69.71, 104.49 and 34.99 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.71 : 104.49 = 34.99 : x
  2. Step 2: Convert to fraction form
    69.71/104.49 = 34.99/x
  3. Step 3: Cross multiply
    69.71x = 104.49 × 34.99
  4. Step 4: Simplify right side
    69.71x = 3,656.11
  5. Step 5: Solve for x
    x = 3,656.11/69.71
  6. Step 6: Final answer
    x = 52.45

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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.