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Finding the Fourth Proportional to 84.54, 126.74 and 30.42

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Solution

The fourth proportional to 84.54, 126.74 and 30.42 is: 45.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.54 : 126.74 = 30.42 : x
  2. Step 2: Convert to fraction form
    84.54/126.74 = 30.42/x
  3. Step 3: Cross multiply
    84.54x = 126.74 × 30.42
  4. Step 4: Simplify right side
    84.54x = 3,855.81
  5. Step 5: Solve for x
    x = 3,855.81/84.54
  6. Step 6: Final answer
    x = 45.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.