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Finding the Fourth Proportional to 83.41, 115.22 and 65.95

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Solution

The fourth proportional to 83.41, 115.22 and 65.95 is: 91.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.41 : 115.22 = 65.95 : x
  2. Step 2: Convert to fraction form
    83.41/115.22 = 65.95/x
  3. Step 3: Cross multiply
    83.41x = 115.22 × 65.95
  4. Step 4: Simplify right side
    83.41x = 7,598.64
  5. Step 5: Solve for x
    x = 7,598.64/83.41
  6. Step 6: Final answer
    x = 91.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.