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Finding the Fourth Proportional to 72.03, 107.12 and 71.22

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Solution

The fourth proportional to 72.03, 107.12 and 71.22 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.03 : 107.12 = 71.22 : x
  2. Step 2: Convert to fraction form
    72.03/107.12 = 71.22/x
  3. Step 3: Cross multiply
    72.03x = 107.12 × 71.22
  4. Step 4: Simplify right side
    72.03x = 7,629.26
  5. Step 5: Solve for x
    x = 7,629.26/72.03
  6. Step 6: Final answer
    x = 105.92

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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.