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Finding the Fourth Proportional to 70.46, 104.90 and 70.12

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Solution

The fourth proportional to 70.46, 104.90 and 70.12 is: 104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 104.90 = 70.12 : x
  2. Step 2: Convert to fraction form
    70.46/104.90 = 70.12/x
  3. Step 3: Cross multiply
    70.46x = 104.90 × 70.12
  4. Step 4: Simplify right side
    70.46x = 7,355.59
  5. Step 5: Solve for x
    x = 7,355.59/70.46
  6. Step 6: Final answer
    x = 104.39

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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.