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Finding the Fourth Proportional to 37.58, 51.83 and 23.02

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Solution

The fourth proportional to 37.58, 51.83 and 23.02 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.58 : 51.83 = 23.02 : x
  2. Step 2: Convert to fraction form
    37.58/51.83 = 23.02/x
  3. Step 3: Cross multiply
    37.58x = 51.83 × 23.02
  4. Step 4: Simplify right side
    37.58x = 1,193.05
  5. Step 5: Solve for x
    x = 1,193.05/37.58
  6. Step 6: Final answer
    x = 31.75

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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.