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Finding the Fourth Proportional to 37.88, 56.45 and 35.56

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Solution

The fourth proportional to 37.88, 56.45 and 35.56 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.88 : 56.45 = 35.56 : x
  2. Step 2: Convert to fraction form
    37.88/56.45 = 35.56/x
  3. Step 3: Cross multiply
    37.88x = 56.45 × 35.56
  4. Step 4: Simplify right side
    37.88x = 2,007.04
  5. Step 5: Solve for x
    x = 2,007.04/37.88
  6. Step 6: Final answer
    x = 52.98

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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.