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Finding the Fourth Proportional to 120.64, 166.54 and 92.94

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Solution

The fourth proportional to 120.64, 166.54 and 92.94 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.64 : 166.54 = 92.94 : x
  2. Step 2: Convert to fraction form
    120.64/166.54 = 92.94/x
  3. Step 3: Cross multiply
    120.64x = 166.54 × 92.94
  4. Step 4: Simplify right side
    120.64x = 15,478.23
  5. Step 5: Solve for x
    x = 15,478.23/120.64
  6. Step 6: Final answer
    x = 128.31

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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.