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Finding the Fourth Proportional to 96.14, 131.67 and 90.53

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Solution

The fourth proportional to 96.14, 131.67 and 90.53 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 131.67 = 90.53 : x
  2. Step 2: Convert to fraction form
    96.14/131.67 = 90.53/x
  3. Step 3: Cross multiply
    96.14x = 131.67 × 90.53
  4. Step 4: Simplify right side
    96.14x = 11,919.65
  5. Step 5: Solve for x
    x = 11,919.65/96.14
  6. Step 6: Final answer
    x = 123.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.