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Finding the Fourth Proportional to 70.17, 104.74 and 65.43

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Solution

The fourth proportional to 70.17, 104.74 and 65.43 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.17 : 104.74 = 65.43 : x
  2. Step 2: Convert to fraction form
    70.17/104.74 = 65.43/x
  3. Step 3: Cross multiply
    70.17x = 104.74 × 65.43
  4. Step 4: Simplify right side
    70.17x = 6,853.14
  5. Step 5: Solve for x
    x = 6,853.14/70.17
  6. Step 6: Final answer
    x = 97.66

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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.