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Finding the Fourth Proportional to 160.05, 220.75 and 120.72

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Solution

The fourth proportional to 160.05, 220.75 and 120.72 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.75 = 120.72 : x
  2. Step 2: Convert to fraction form
    160.05/220.75 = 120.72/x
  3. Step 3: Cross multiply
    160.05x = 220.75 × 120.72
  4. Step 4: Simplify right side
    160.05x = 26,648.94
  5. Step 5: Solve for x
    x = 26,648.94/160.05
  6. Step 6: Final answer
    x = 166.50

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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.