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Finding the Fourth Proportional to 73.51, 109.37 and 73.27

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Solution

The fourth proportional to 73.51, 109.37 and 73.27 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 109.37 = 73.27 : x
  2. Step 2: Convert to fraction form
    73.51/109.37 = 73.27/x
  3. Step 3: Cross multiply
    73.51x = 109.37 × 73.27
  4. Step 4: Simplify right side
    73.51x = 8,013.54
  5. Step 5: Solve for x
    x = 8,013.54/73.51
  6. Step 6: Final answer
    x = 109.01

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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.