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Finding the Fourth Proportional to 70.97, 105.75 and 70.63

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Solution

The fourth proportional to 70.97, 105.75 and 70.63 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 105.75 = 70.63 : x
  2. Step 2: Convert to fraction form
    70.97/105.75 = 70.63/x
  3. Step 3: Cross multiply
    70.97x = 105.75 × 70.63
  4. Step 4: Simplify right side
    70.97x = 7,468.86
  5. Step 5: Solve for x
    x = 7,468.86/70.97
  6. Step 6: Final answer
    x = 105.25

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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.