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Finding the Fourth Proportional to 100.91, 152.06 and 83.27

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Solution

The fourth proportional to 100.91, 152.06 and 83.27 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.91 : 152.06 = 83.27 : x
  2. Step 2: Convert to fraction form
    100.91/152.06 = 83.27/x
  3. Step 3: Cross multiply
    100.91x = 152.06 × 83.27
  4. Step 4: Simplify right side
    100.91x = 12,662.04
  5. Step 5: Solve for x
    x = 12,662.04/100.91
  6. Step 6: Final answer
    x = 125.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.