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Finding the Fourth Proportional to 57.19, 78.74 and 51.23

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Solution

The fourth proportional to 57.19, 78.74 and 51.23 is: 70.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 78.74 = 51.23 : x
  2. Step 2: Convert to fraction form
    57.19/78.74 = 51.23/x
  3. Step 3: Cross multiply
    57.19x = 78.74 × 51.23
  4. Step 4: Simplify right side
    57.19x = 4,033.59
  5. Step 5: Solve for x
    x = 4,033.59/57.19
  6. Step 6: Final answer
    x = 70.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.