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Finding the Fourth Proportional to 159.54, 220.02 and 120.18

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Solution

The fourth proportional to 159.54, 220.02 and 120.18 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 220.02 = 120.18 : x
  2. Step 2: Convert to fraction form
    159.54/220.02 = 120.18/x
  3. Step 3: Cross multiply
    159.54x = 220.02 × 120.18
  4. Step 4: Simplify right side
    159.54x = 26,442.00
  5. Step 5: Solve for x
    x = 26,442.00/159.54
  6. Step 6: Final answer
    x = 165.74

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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.