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Finding the Fourth Proportional to 120.16, 180.38 and 66.16

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Solution

The fourth proportional to 120.16, 180.38 and 66.16 is: 99.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 180.38 = 66.16 : x
  2. Step 2: Convert to fraction form
    120.16/180.38 = 66.16/x
  3. Step 3: Cross multiply
    120.16x = 180.38 × 66.16
  4. Step 4: Simplify right side
    120.16x = 11,933.94
  5. Step 5: Solve for x
    x = 11,933.94/120.16
  6. Step 6: Final answer
    x = 99.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.