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Finding the Fourth Proportional to 69.71, 103.77 and 69.30

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Solution

The fourth proportional to 69.71, 103.77 and 69.30 is: 103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.71 : 103.77 = 69.30 : x
  2. Step 2: Convert to fraction form
    69.71/103.77 = 69.30/x
  3. Step 3: Cross multiply
    69.71x = 103.77 × 69.30
  4. Step 4: Simplify right side
    69.71x = 7,191.26
  5. Step 5: Solve for x
    x = 7,191.26/69.71
  6. Step 6: Final answer
    x = 103.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.