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Finding the Fourth Proportional to 52.16, 77.78 and 50.74

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Solution

The fourth proportional to 52.16, 77.78 and 50.74 is: 75.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 77.78 = 50.74 : x
  2. Step 2: Convert to fraction form
    52.16/77.78 = 50.74/x
  3. Step 3: Cross multiply
    52.16x = 77.78 × 50.74
  4. Step 4: Simplify right side
    52.16x = 3,946.49
  5. Step 5: Solve for x
    x = 3,946.49/52.16
  6. Step 6: Final answer
    x = 75.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.