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Finding the Fourth Proportional to 70.44, 105.03 and 66.84

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Solution

The fourth proportional to 70.44, 105.03 and 66.84 is: 99.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 105.03 = 66.84 : x
  2. Step 2: Convert to fraction form
    70.44/105.03 = 66.84/x
  3. Step 3: Cross multiply
    70.44x = 105.03 × 66.84
  4. Step 4: Simplify right side
    70.44x = 7,020.21
  5. Step 5: Solve for x
    x = 7,020.21/70.44
  6. Step 6: Final answer
    x = 99.66

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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.