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Finding the Fourth Proportional to 103.52, 142.72 and 100.33

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Solution

The fourth proportional to 103.52, 142.72 and 100.33 is: 138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 142.72 = 100.33 : x
  2. Step 2: Convert to fraction form
    103.52/142.72 = 100.33/x
  3. Step 3: Cross multiply
    103.52x = 142.72 × 100.33
  4. Step 4: Simplify right side
    103.52x = 14,317.88
  5. Step 5: Solve for x
    x = 14,317.88/103.52
  6. Step 6: Final answer
    x = 138.31

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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.