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Finding the Fourth Proportional to 52.23, 78.42 and 37

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Solution

The fourth proportional to 52.23, 78.42 and 37 is: 55.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.42 = 37 : x
  2. Step 2: Convert to fraction form
    52.23/78.42 = 37/x
  3. Step 3: Cross multiply
    52.23x = 78.42 × 37
  4. Step 4: Simplify right side
    52.23x = 2,901.54
  5. Step 5: Solve for x
    x = 2,901.54/52.23
  6. Step 6: Final answer
    x = 55.55

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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.