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Finding the Fourth Proportional to 66.70, 100.04 and 26.14

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Solution

The fourth proportional to 66.70, 100.04 and 26.14 is: 39.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.70 : 100.04 = 26.14 : x
  2. Step 2: Convert to fraction form
    66.70/100.04 = 26.14/x
  3. Step 3: Cross multiply
    66.70x = 100.04 × 26.14
  4. Step 4: Simplify right side
    66.70x = 2,615.05
  5. Step 5: Solve for x
    x = 2,615.05/66.70
  6. Step 6: Final answer
    x = 39.21

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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.