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Finding the Fourth Proportional to 103.98, 143.63 and 71.37

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Solution

The fourth proportional to 103.98, 143.63 and 71.37 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.98 : 143.63 = 71.37 : x
  2. Step 2: Convert to fraction form
    103.98/143.63 = 71.37/x
  3. Step 3: Cross multiply
    103.98x = 143.63 × 71.37
  4. Step 4: Simplify right side
    103.98x = 10,250.87
  5. Step 5: Solve for x
    x = 10,250.87/103.98
  6. Step 6: Final answer
    x = 98.59

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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.