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Finding the Fourth Proportional to 120.53, 166.28 and 68.06

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Solution

The fourth proportional to 120.53, 166.28 and 68.06 is: 93.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 166.28 = 68.06 : x
  2. Step 2: Convert to fraction form
    120.53/166.28 = 68.06/x
  3. Step 3: Cross multiply
    120.53x = 166.28 × 68.06
  4. Step 4: Simplify right side
    120.53x = 11,317.60
  5. Step 5: Solve for x
    x = 11,317.60/120.53
  6. Step 6: Final answer
    x = 93.90

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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.