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Finding the Fourth Proportional to 131.14, 181.01 and 75.90

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Solution

The fourth proportional to 131.14, 181.01 and 75.90 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 181.01 = 75.90 : x
  2. Step 2: Convert to fraction form
    131.14/181.01 = 75.90/x
  3. Step 3: Cross multiply
    131.14x = 181.01 × 75.90
  4. Step 4: Simplify right side
    131.14x = 13,737.75
  5. Step 5: Solve for x
    x = 13,737.75/131.14
  6. Step 6: Final answer
    x = 104.76

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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.