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Finding the Fourth Proportional to 72.25, 107.79 and 71.48

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Solution

The fourth proportional to 72.25, 107.79 and 71.48 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 107.79 = 71.48 : x
  2. Step 2: Convert to fraction form
    72.25/107.79 = 71.48/x
  3. Step 3: Cross multiply
    72.25x = 107.79 × 71.48
  4. Step 4: Simplify right side
    72.25x = 7,704.47
  5. Step 5: Solve for x
    x = 7,704.47/72.25
  6. Step 6: Final answer
    x = 106.64

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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.