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Finding the Fourth Proportional to 103.63, 142.88 and 80.35

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Solution

The fourth proportional to 103.63, 142.88 and 80.35 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 142.88 = 80.35 : x
  2. Step 2: Convert to fraction form
    103.63/142.88 = 80.35/x
  3. Step 3: Cross multiply
    103.63x = 142.88 × 80.35
  4. Step 4: Simplify right side
    103.63x = 11,479.29
  5. Step 5: Solve for x
    x = 11,479.29/103.63
  6. Step 6: Final answer
    x = 110.77

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