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Finding the Fourth Proportional to 120.08, 164.58 and 118.88

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Solution

The fourth proportional to 120.08, 164.58 and 118.88 is: 162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.08 : 164.58 = 118.88 : x
  2. Step 2: Convert to fraction form
    120.08/164.58 = 118.88/x
  3. Step 3: Cross multiply
    120.08x = 164.58 × 118.88
  4. Step 4: Simplify right side
    120.08x = 19,565.27
  5. Step 5: Solve for x
    x = 19,565.27/120.08
  6. Step 6: Final answer
    x = 162.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.