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Finding the Fourth Proportional to 131.08, 180.90 and 120.10

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Solution

The fourth proportional to 131.08, 180.90 and 120.10 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.08 : 180.90 = 120.10 : x
  2. Step 2: Convert to fraction form
    131.08/180.90 = 120.10/x
  3. Step 3: Cross multiply
    131.08x = 180.90 × 120.10
  4. Step 4: Simplify right side
    131.08x = 21,726.09
  5. Step 5: Solve for x
    x = 21,726.09/131.08
  6. Step 6: Final answer
    x = 165.75

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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.