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Finding the Fourth Proportional to 70.35, 106.08 and 69.57

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Solution

The fourth proportional to 70.35, 106.08 and 69.57 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.35 : 106.08 = 69.57 : x
  2. Step 2: Convert to fraction form
    70.35/106.08 = 69.57/x
  3. Step 3: Cross multiply
    70.35x = 106.08 × 69.57
  4. Step 4: Simplify right side
    70.35x = 7,379.99
  5. Step 5: Solve for x
    x = 7,379.99/70.35
  6. Step 6: Final answer
    x = 104.90

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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.