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Finding the Fourth Proportional to 106.08, 158.24 and 89.07

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Solution

The fourth proportional to 106.08, 158.24 and 89.07 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 158.24 = 89.07 : x
  2. Step 2: Convert to fraction form
    106.08/158.24 = 89.07/x
  3. Step 3: Cross multiply
    106.08x = 158.24 × 89.07
  4. Step 4: Simplify right side
    106.08x = 14,093.20
  5. Step 5: Solve for x
    x = 14,093.20/106.08
  6. Step 6: Final answer
    x = 132.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.