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Finding the Fourth Proportional to 37.67, 56.57 and 32.00

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Solution

The fourth proportional to 37.67, 56.57 and 32.00 is: 48.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.67 : 56.57 = 32.00 : x
  2. Step 2: Convert to fraction form
    37.67/56.57 = 32.00/x
  3. Step 3: Cross multiply
    37.67x = 56.57 × 32.00
  4. Step 4: Simplify right side
    37.67x = 1,809.80
  5. Step 5: Solve for x
    x = 1,809.80/37.67
  6. Step 6: Final answer
    x = 48.05

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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.