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Finding the Fourth Proportional to 84.72, 127.08 and 30.61

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Solution

The fourth proportional to 84.72, 127.08 and 30.61 is: 45.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.72 : 127.08 = 30.61 : x
  2. Step 2: Convert to fraction form
    84.72/127.08 = 30.61/x
  3. Step 3: Cross multiply
    84.72x = 127.08 × 30.61
  4. Step 4: Simplify right side
    84.72x = 3,889.92
  5. Step 5: Solve for x
    x = 3,889.92/84.72
  6. Step 6: Final answer
    x = 45.92

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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.