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Finding the Fourth Proportional to 50.74, 70.01 and 30.01

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Solution

The fourth proportional to 50.74, 70.01 and 30.01 is: 41.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.74 : 70.01 = 30.01 : x
  2. Step 2: Convert to fraction form
    50.74/70.01 = 30.01/x
  3. Step 3: Cross multiply
    50.74x = 70.01 × 30.01
  4. Step 4: Simplify right side
    50.74x = 2,100.68
  5. Step 5: Solve for x
    x = 2,100.68/50.74
  6. Step 6: Final answer
    x = 41.40

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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.