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Finding the Fourth Proportional to 120.52, 167.48 and 118.99

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Solution

The fourth proportional to 120.52, 167.48 and 118.99 is: 165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 167.48 = 118.99 : x
  2. Step 2: Convert to fraction form
    120.52/167.48 = 118.99/x
  3. Step 3: Cross multiply
    120.52x = 167.48 × 118.99
  4. Step 4: Simplify right side
    120.52x = 19,928.45
  5. Step 5: Solve for x
    x = 19,928.45/120.52
  6. Step 6: Final answer
    x = 165.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.