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Finding the Fourth Proportional to 120.72, 166.65 and 93.18

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Solution

The fourth proportional to 120.72, 166.65 and 93.18 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 166.65 = 93.18 : x
  2. Step 2: Convert to fraction form
    120.72/166.65 = 93.18/x
  3. Step 3: Cross multiply
    120.72x = 166.65 × 93.18
  4. Step 4: Simplify right side
    120.72x = 15,528.45
  5. Step 5: Solve for x
    x = 15,528.45/120.72
  6. Step 6: Final answer
    x = 128.63

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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.