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Finding the Fourth Proportional to 84.74, 127.02 and 30.59

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Solution

The fourth proportional to 84.74, 127.02 and 30.59 is: 45.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 127.02 = 30.59 : x
  2. Step 2: Convert to fraction form
    84.74/127.02 = 30.59/x
  3. Step 3: Cross multiply
    84.74x = 127.02 × 30.59
  4. Step 4: Simplify right side
    84.74x = 3,885.54
  5. Step 5: Solve for x
    x = 3,885.54/84.74
  6. Step 6: Final answer
    x = 45.85

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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.