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Finding the Fourth Proportional to 51.49, 77.13 and 38.50

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Solution

The fourth proportional to 51.49, 77.13 and 38.50 is: 57.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.49 : 77.13 = 38.50 : x
  2. Step 2: Convert to fraction form
    51.49/77.13 = 38.50/x
  3. Step 3: Cross multiply
    51.49x = 77.13 × 38.50
  4. Step 4: Simplify right side
    51.49x = 2,969.51
  5. Step 5: Solve for x
    x = 2,969.51/51.49
  6. Step 6: Final answer
    x = 57.67

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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.