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Finding the Fourth Proportional to 70.44, 106.18 and 66.52

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Solution

The fourth proportional to 70.44, 106.18 and 66.52 is: 100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 106.18 = 66.52 : x
  2. Step 2: Convert to fraction form
    70.44/106.18 = 66.52/x
  3. Step 3: Cross multiply
    70.44x = 106.18 × 66.52
  4. Step 4: Simplify right side
    70.44x = 7,063.09
  5. Step 5: Solve for x
    x = 7,063.09/70.44
  6. Step 6: Final answer
    x = 100.27

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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.