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Finding the Fourth Proportional to 70.13, 104.91 and 65.81

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Solution

The fourth proportional to 70.13, 104.91 and 65.81 is: 98.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 104.91 = 65.81 : x
  2. Step 2: Convert to fraction form
    70.13/104.91 = 65.81/x
  3. Step 3: Cross multiply
    70.13x = 104.91 × 65.81
  4. Step 4: Simplify right side
    70.13x = 6,904.14
  5. Step 5: Solve for x
    x = 6,904.14/70.13
  6. Step 6: Final answer
    x = 98.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.