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Finding the Fourth Proportional to 50.76, 70.11 and 39.98

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Solution

The fourth proportional to 50.76, 70.11 and 39.98 is: 55.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 70.11 = 39.98 : x
  2. Step 2: Convert to fraction form
    50.76/70.11 = 39.98/x
  3. Step 3: Cross multiply
    50.76x = 70.11 × 39.98
  4. Step 4: Simplify right side
    50.76x = 2,803.00
  5. Step 5: Solve for x
    x = 2,803.00/50.76
  6. Step 6: Final answer
    x = 55.22

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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.