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Finding the Fourth Proportional to 70.46, 104.21 and 70.46

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Solution

The fourth proportional to 70.46, 104.21 and 70.46 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 104.21 = 70.46 : x
  2. Step 2: Convert to fraction form
    70.46/104.21 = 70.46/x
  3. Step 3: Cross multiply
    70.46x = 104.21 × 70.46
  4. Step 4: Simplify right side
    70.46x = 7,341.76
  5. Step 5: Solve for x
    x = 7,341.76/70.46
  6. Step 6: Final answer
    x = 104.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.