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Finding the Fourth Proportional to 37.01, 55.49 and 30.57

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Solution

The fourth proportional to 37.01, 55.49 and 30.57 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.01 : 55.49 = 30.57 : x
  2. Step 2: Convert to fraction form
    37.01/55.49 = 30.57/x
  3. Step 3: Cross multiply
    37.01x = 55.49 × 30.57
  4. Step 4: Simplify right side
    37.01x = 1,696.18
  5. Step 5: Solve for x
    x = 1,696.18/37.01
  6. Step 6: Final answer
    x = 45.84

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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.