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Finding the Fourth Proportional to 37.53, 51.75 and 23.70

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Solution

The fourth proportional to 37.53, 51.75 and 23.70 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.53 : 51.75 = 23.70 : x
  2. Step 2: Convert to fraction form
    37.53/51.75 = 23.70/x
  3. Step 3: Cross multiply
    37.53x = 51.75 × 23.70
  4. Step 4: Simplify right side
    37.53x = 1,226.48
  5. Step 5: Solve for x
    x = 1,226.48/37.53
  6. Step 6: Final answer
    x = 32.68

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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.