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Finding the Fourth Proportional to 119.37, 164.73 and 94.98

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Solution

The fourth proportional to 119.37, 164.73 and 94.98 is: 131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.37 : 164.73 = 94.98 : x
  2. Step 2: Convert to fraction form
    119.37/164.73 = 94.98/x
  3. Step 3: Cross multiply
    119.37x = 164.73 × 94.98
  4. Step 4: Simplify right side
    119.37x = 15,646.06
  5. Step 5: Solve for x
    x = 15,646.06/119.37
  6. Step 6: Final answer
    x = 131.07

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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.