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Finding the Fourth Proportional to 70.74, 106.74 and 69.30

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Solution

The fourth proportional to 70.74, 106.74 and 69.30 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 106.74 = 69.30 : x
  2. Step 2: Convert to fraction form
    70.74/106.74 = 69.30/x
  3. Step 3: Cross multiply
    70.74x = 106.74 × 69.30
  4. Step 4: Simplify right side
    70.74x = 7,397.08
  5. Step 5: Solve for x
    x = 7,397.08/70.74
  6. Step 6: Final answer
    x = 104.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.