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Finding the Fourth Proportional to 91.23, 125.82 and 84.21

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Solution

The fourth proportional to 91.23, 125.82 and 84.21 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.23 : 125.82 = 84.21 : x
  2. Step 2: Convert to fraction form
    91.23/125.82 = 84.21/x
  3. Step 3: Cross multiply
    91.23x = 125.82 × 84.21
  4. Step 4: Simplify right side
    91.23x = 10,595.30
  5. Step 5: Solve for x
    x = 10,595.30/91.23
  6. Step 6: Final answer
    x = 116.14

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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.