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Finding the Fourth Proportional to 52.16, 78.14 and 33.82

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Solution

The fourth proportional to 52.16, 78.14 and 33.82 is: 50.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.14 = 33.82 : x
  2. Step 2: Convert to fraction form
    52.16/78.14 = 33.82/x
  3. Step 3: Cross multiply
    52.16x = 78.14 × 33.82
  4. Step 4: Simplify right side
    52.16x = 2,642.69
  5. Step 5: Solve for x
    x = 2,642.69/52.16
  6. Step 6: Final answer
    x = 50.67

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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.