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Finding the Fourth Proportional to 52.70, 78.83 and 47.33

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Solution

The fourth proportional to 52.70, 78.83 and 47.33 is: 70.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 78.83 = 47.33 : x
  2. Step 2: Convert to fraction form
    52.70/78.83 = 47.33/x
  3. Step 3: Cross multiply
    52.70x = 78.83 × 47.33
  4. Step 4: Simplify right side
    52.70x = 3,731.02
  5. Step 5: Solve for x
    x = 3,731.02/52.70
  6. Step 6: Final answer
    x = 70.80

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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.