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Finding the Fourth Proportional to 109.61, 164.14 and 75.27

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Solution

The fourth proportional to 109.61, 164.14 and 75.27 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.61 : 164.14 = 75.27 : x
  2. Step 2: Convert to fraction form
    109.61/164.14 = 75.27/x
  3. Step 3: Cross multiply
    109.61x = 164.14 × 75.27
  4. Step 4: Simplify right side
    109.61x = 12,354.63
  5. Step 5: Solve for x
    x = 12,354.63/109.61
  6. Step 6: Final answer
    x = 112.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.