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Finding the Fourth Proportional to 37.04, 55.49 and 32.89

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Solution

The fourth proportional to 37.04, 55.49 and 32.89 is: 49.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.04 : 55.49 = 32.89 : x
  2. Step 2: Convert to fraction form
    37.04/55.49 = 32.89/x
  3. Step 3: Cross multiply
    37.04x = 55.49 × 32.89
  4. Step 4: Simplify right side
    37.04x = 1,825.07
  5. Step 5: Solve for x
    x = 1,825.07/37.04
  6. Step 6: Final answer
    x = 49.27

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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.