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Finding the Fourth Proportional to 70.54, 97.34 and 41.43

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Solution

The fourth proportional to 70.54, 97.34 and 41.43 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 97.34 = 41.43 : x
  2. Step 2: Convert to fraction form
    70.54/97.34 = 41.43/x
  3. Step 3: Cross multiply
    70.54x = 97.34 × 41.43
  4. Step 4: Simplify right side
    70.54x = 4,032.80
  5. Step 5: Solve for x
    x = 4,032.80/70.54
  6. Step 6: Final answer
    x = 57.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.