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Finding the Fourth Proportional to 120.50, 165.92 and 102.98

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Solution

The fourth proportional to 120.50, 165.92 and 102.98 is: 141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 165.92 = 102.98 : x
  2. Step 2: Convert to fraction form
    120.50/165.92 = 102.98/x
  3. Step 3: Cross multiply
    120.50x = 165.92 × 102.98
  4. Step 4: Simplify right side
    120.50x = 17,085.10
  5. Step 5: Solve for x
    x = 17,085.10/120.50
  6. Step 6: Final answer
    x = 141.79

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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.