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Finding the Fourth Proportional to 37.93, 56.55 and 37.55

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Solution

The fourth proportional to 37.93, 56.55 and 37.55 is: 55.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.93 : 56.55 = 37.55 : x
  2. Step 2: Convert to fraction form
    37.93/56.55 = 37.55/x
  3. Step 3: Cross multiply
    37.93x = 56.55 × 37.55
  4. Step 4: Simplify right side
    37.93x = 2,123.45
  5. Step 5: Solve for x
    x = 2,123.45/37.93
  6. Step 6: Final answer
    x = 55.98

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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.