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Finding the Fourth Proportional to 71.29, 107.75 and 70.10

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Solution

The fourth proportional to 71.29, 107.75 and 70.10 is: 105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.29 : 107.75 = 70.10 : x
  2. Step 2: Convert to fraction form
    71.29/107.75 = 70.10/x
  3. Step 3: Cross multiply
    71.29x = 107.75 × 70.10
  4. Step 4: Simplify right side
    71.29x = 7,553.28
  5. Step 5: Solve for x
    x = 7,553.28/71.29
  6. Step 6: Final answer
    x = 105.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.