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Finding the Fourth Proportional to 109.29, 164.93 and 105.57

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Solution

The fourth proportional to 109.29, 164.93 and 105.57 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.29 : 164.93 = 105.57 : x
  2. Step 2: Convert to fraction form
    109.29/164.93 = 105.57/x
  3. Step 3: Cross multiply
    109.29x = 164.93 × 105.57
  4. Step 4: Simplify right side
    109.29x = 17,411.13
  5. Step 5: Solve for x
    x = 17,411.13/109.29
  6. Step 6: Final answer
    x = 159.31

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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.