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Finding the Fourth Proportional to 109.38, 164.77 and 103.72

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Solution

The fourth proportional to 109.38, 164.77 and 103.72 is: 156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 164.77 = 103.72 : x
  2. Step 2: Convert to fraction form
    109.38/164.77 = 103.72/x
  3. Step 3: Cross multiply
    109.38x = 164.77 × 103.72
  4. Step 4: Simplify right side
    109.38x = 17,089.94
  5. Step 5: Solve for x
    x = 17,089.94/109.38
  6. Step 6: Final answer
    x = 156.24

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