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Finding the Fourth Proportional to 37.50, 55.86 and 35.57

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Solution

The fourth proportional to 37.50, 55.86 and 35.57 is: 52.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 55.86 = 35.57 : x
  2. Step 2: Convert to fraction form
    37.50/55.86 = 35.57/x
  3. Step 3: Cross multiply
    37.50x = 55.86 × 35.57
  4. Step 4: Simplify right side
    37.50x = 1,986.95
  5. Step 5: Solve for x
    x = 1,986.95/37.50
  6. Step 6: Final answer
    x = 52.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.