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Finding the Fourth Proportional to 117.31, 161 and 106.33

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Solution

The fourth proportional to 117.31, 161 and 106.33 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.31 : 161 = 106.33 : x
  2. Step 2: Convert to fraction form
    117.31/161 = 106.33/x
  3. Step 3: Cross multiply
    117.31x = 161 × 106.33
  4. Step 4: Simplify right side
    117.31x = 17,119.13
  5. Step 5: Solve for x
    x = 17,119.13/117.31
  6. Step 6: Final answer
    x = 145.93

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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.