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Finding the Fourth Proportional to 50.84, 70.14 and 30.11

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Solution

The fourth proportional to 50.84, 70.14 and 30.11 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 70.14 = 30.11 : x
  2. Step 2: Convert to fraction form
    50.84/70.14 = 30.11/x
  3. Step 3: Cross multiply
    50.84x = 70.14 × 30.11
  4. Step 4: Simplify right side
    50.84x = 2,111.69
  5. Step 5: Solve for x
    x = 2,111.69/50.84
  6. Step 6: Final answer
    x = 41.54

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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.