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Finding the Fourth Proportional to 83.03, 125.15 and 83.03

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Solution

The fourth proportional to 83.03, 125.15 and 83.03 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.03 : 125.15 = 83.03 : x
  2. Step 2: Convert to fraction form
    83.03/125.15 = 83.03/x
  3. Step 3: Cross multiply
    83.03x = 125.15 × 83.03
  4. Step 4: Simplify right side
    83.03x = 10,390.16
  5. Step 5: Solve for x
    x = 10,390.16/83.03
  6. Step 6: Final answer
    x = 125.15

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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.