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Finding the Fourth Proportional to 51.94, 78.01 and 37.55

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Solution

The fourth proportional to 51.94, 78.01 and 37.55 is: 56.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 78.01 = 37.55 : x
  2. Step 2: Convert to fraction form
    51.94/78.01 = 37.55/x
  3. Step 3: Cross multiply
    51.94x = 78.01 × 37.55
  4. Step 4: Simplify right side
    51.94x = 2,929.24
  5. Step 5: Solve for x
    x = 2,929.24/51.94
  6. Step 6: Final answer
    x = 56.40

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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.