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Finding the Fourth Proportional to 120.42, 165.06 and 118.28

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Solution

The fourth proportional to 120.42, 165.06 and 118.28 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 165.06 = 118.28 : x
  2. Step 2: Convert to fraction form
    120.42/165.06 = 118.28/x
  3. Step 3: Cross multiply
    120.42x = 165.06 × 118.28
  4. Step 4: Simplify right side
    120.42x = 19,523.71
  5. Step 5: Solve for x
    x = 19,523.71/120.42
  6. Step 6: Final answer
    x = 162.13

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