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Finding the Fourth Proportional to 106.34, 145.96 and 94.41

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Solution

The fourth proportional to 106.34, 145.96 and 94.41 is: 129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 145.96 = 94.41 : x
  2. Step 2: Convert to fraction form
    106.34/145.96 = 94.41/x
  3. Step 3: Cross multiply
    106.34x = 145.96 × 94.41
  4. Step 4: Simplify right side
    106.34x = 13,779.85
  5. Step 5: Solve for x
    x = 13,779.85/106.34
  6. Step 6: Final answer
    x = 129.59

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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.