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Finding the Fourth Proportional to 91.80, 138.31 and 84.42

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Solution

The fourth proportional to 91.80, 138.31 and 84.42 is: 127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.80 : 138.31 = 84.42 : x
  2. Step 2: Convert to fraction form
    91.80/138.31 = 84.42/x
  3. Step 3: Cross multiply
    91.80x = 138.31 × 84.42
  4. Step 4: Simplify right side
    91.80x = 11,675.92
  5. Step 5: Solve for x
    x = 11,675.92/91.80
  6. Step 6: Final answer
    x = 127.19

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Why These Related Problems?

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