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Finding the Fourth Proportional to 131.52, 181.41 and 96.59

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Solution

The fourth proportional to 131.52, 181.41 and 96.59 is: 133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 181.41 = 96.59 : x
  2. Step 2: Convert to fraction form
    131.52/181.41 = 96.59/x
  3. Step 3: Cross multiply
    131.52x = 181.41 × 96.59
  4. Step 4: Simplify right side
    131.52x = 17,521.48
  5. Step 5: Solve for x
    x = 17,521.48/131.52
  6. Step 6: Final answer
    x = 133.23

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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.