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Finding the Fourth Proportional to 73.64, 109.96 and 71.72

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Solution

The fourth proportional to 73.64, 109.96 and 71.72 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.64 : 109.96 = 71.72 : x
  2. Step 2: Convert to fraction form
    73.64/109.96 = 71.72/x
  3. Step 3: Cross multiply
    73.64x = 109.96 × 71.72
  4. Step 4: Simplify right side
    73.64x = 7,886.33
  5. Step 5: Solve for x
    x = 7,886.33/73.64
  6. Step 6: Final answer
    x = 107.09

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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.