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Finding the Fourth Proportional to 70.36, 104.66 and 70.13

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Solution

The fourth proportional to 70.36, 104.66 and 70.13 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.36 : 104.66 = 70.13 : x
  2. Step 2: Convert to fraction form
    70.36/104.66 = 70.13/x
  3. Step 3: Cross multiply
    70.36x = 104.66 × 70.13
  4. Step 4: Simplify right side
    70.36x = 7,338.93
  5. Step 5: Solve for x
    x = 7,338.93/70.36
  6. Step 6: Final answer
    x = 104.31

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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.