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Finding the Fourth Proportional to 161.08, 221.93 and 105.72

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Solution

The fourth proportional to 161.08, 221.93 and 105.72 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.08 : 221.93 = 105.72 : x
  2. Step 2: Convert to fraction form
    161.08/221.93 = 105.72/x
  3. Step 3: Cross multiply
    161.08x = 221.93 × 105.72
  4. Step 4: Simplify right side
    161.08x = 23,461.64
  5. Step 5: Solve for x
    x = 23,461.64/161.08
  6. Step 6: Final answer
    x = 145.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.