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Finding the Fourth Proportional to 120.95, 181.05 and 90.02

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Solution

The fourth proportional to 120.95, 181.05 and 90.02 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.95 : 181.05 = 90.02 : x
  2. Step 2: Convert to fraction form
    120.95/181.05 = 90.02/x
  3. Step 3: Cross multiply
    120.95x = 181.05 × 90.02
  4. Step 4: Simplify right side
    120.95x = 16,297.22
  5. Step 5: Solve for x
    x = 16,297.22/120.95
  6. Step 6: Final answer
    x = 134.75

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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.