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Finding the Fourth Proportional to 109.96, 162.68 and 109.64

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Solution

The fourth proportional to 109.96, 162.68 and 109.64 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 162.68 = 109.64 : x
  2. Step 2: Convert to fraction form
    109.96/162.68 = 109.64/x
  3. Step 3: Cross multiply
    109.96x = 162.68 × 109.64
  4. Step 4: Simplify right side
    109.96x = 17,836.09
  5. Step 5: Solve for x
    x = 17,836.09/109.96
  6. Step 6: Final answer
    x = 162.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.