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Finding the Fourth Proportional to 70.56, 97.26 and 66.68

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Solution

The fourth proportional to 70.56, 97.26 and 66.68 is: 91.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 97.26 = 66.68 : x
  2. Step 2: Convert to fraction form
    70.56/97.26 = 66.68/x
  3. Step 3: Cross multiply
    70.56x = 97.26 × 66.68
  4. Step 4: Simplify right side
    70.56x = 6,485.30
  5. Step 5: Solve for x
    x = 6,485.30/70.56
  6. Step 6: Final answer
    x = 91.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.