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Finding the Fourth Proportional to 103.76, 143.35 and 80.51

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Solution

The fourth proportional to 103.76, 143.35 and 80.51 is: 111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 143.35 = 80.51 : x
  2. Step 2: Convert to fraction form
    103.76/143.35 = 80.51/x
  3. Step 3: Cross multiply
    103.76x = 143.35 × 80.51
  4. Step 4: Simplify right side
    103.76x = 11,540.35
  5. Step 5: Solve for x
    x = 11,540.35/103.76
  6. Step 6: Final answer
    x = 111.22

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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.