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Finding the Fourth Proportional to 70.27, 105.01 and 66.37

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Solution

The fourth proportional to 70.27, 105.01 and 66.37 is: 99.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.27 : 105.01 = 66.37 : x
  2. Step 2: Convert to fraction form
    70.27/105.01 = 66.37/x
  3. Step 3: Cross multiply
    70.27x = 105.01 × 66.37
  4. Step 4: Simplify right side
    70.27x = 6,969.68
  5. Step 5: Solve for x
    x = 6,969.68/70.27
  6. Step 6: Final answer
    x = 99.18

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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.