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Finding the Fourth Proportional to 109.02, 164.34 and 102.06

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Solution

The fourth proportional to 109.02, 164.34 and 102.06 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 164.34 = 102.06 : x
  2. Step 2: Convert to fraction form
    109.02/164.34 = 102.06/x
  3. Step 3: Cross multiply
    109.02x = 164.34 × 102.06
  4. Step 4: Simplify right side
    109.02x = 16,772.54
  5. Step 5: Solve for x
    x = 16,772.54/109.02
  6. Step 6: Final answer
    x = 153.85

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Why These Related Problems?

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