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Finding the Fourth Proportional to 70.75, 106.08 and 57.70

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Solution

The fourth proportional to 70.75, 106.08 and 57.70 is: 86.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 106.08 = 57.70 : x
  2. Step 2: Convert to fraction form
    70.75/106.08 = 57.70/x
  3. Step 3: Cross multiply
    70.75x = 106.08 × 57.70
  4. Step 4: Simplify right side
    70.75x = 6,120.82
  5. Step 5: Solve for x
    x = 6,120.82/70.75
  6. Step 6: Final answer
    x = 86.51

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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.