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Finding the Fourth Proportional to 52.09, 71.86 and 33.67

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Solution

The fourth proportional to 52.09, 71.86 and 33.67 is: 46.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 71.86 = 33.67 : x
  2. Step 2: Convert to fraction form
    52.09/71.86 = 33.67/x
  3. Step 3: Cross multiply
    52.09x = 71.86 × 33.67
  4. Step 4: Simplify right side
    52.09x = 2,419.59
  5. Step 5: Solve for x
    x = 2,419.59/52.09
  6. Step 6: Final answer
    x = 46.45

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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.