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Finding the Fourth Proportional to 119.90, 165.08 and 101.44

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Solution

The fourth proportional to 119.90, 165.08 and 101.44 is: 139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.90 : 165.08 = 101.44 : x
  2. Step 2: Convert to fraction form
    119.90/165.08 = 101.44/x
  3. Step 3: Cross multiply
    119.90x = 165.08 × 101.44
  4. Step 4: Simplify right side
    119.90x = 16,745.72
  5. Step 5: Solve for x
    x = 16,745.72/119.90
  6. Step 6: Final answer
    x = 139.66

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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.