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Finding the Fourth Proportional to 50.76, 70.02 and 30.02

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Solution

The fourth proportional to 50.76, 70.02 and 30.02 is: 41.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 70.02 = 30.02 : x
  2. Step 2: Convert to fraction form
    50.76/70.02 = 30.02/x
  3. Step 3: Cross multiply
    50.76x = 70.02 × 30.02
  4. Step 4: Simplify right side
    50.76x = 2,102.18
  5. Step 5: Solve for x
    x = 2,102.18/50.76
  6. Step 6: Final answer
    x = 41.41

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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.