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Finding the Fourth Proportional to 70.02, 104.33 and 67.40

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Solution

The fourth proportional to 70.02, 104.33 and 67.40 is: 100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 104.33 = 67.40 : x
  2. Step 2: Convert to fraction form
    70.02/104.33 = 67.40/x
  3. Step 3: Cross multiply
    70.02x = 104.33 × 67.40
  4. Step 4: Simplify right side
    70.02x = 7,031.84
  5. Step 5: Solve for x
    x = 7,031.84/70.02
  6. Step 6: Final answer
    x = 100.43

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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.