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Finding the Fourth Proportional to 54.42, 74.67 and 51.30

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Solution

The fourth proportional to 54.42, 74.67 and 51.30 is: 70.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 74.67 = 51.30 : x
  2. Step 2: Convert to fraction form
    54.42/74.67 = 51.30/x
  3. Step 3: Cross multiply
    54.42x = 74.67 × 51.30
  4. Step 4: Simplify right side
    54.42x = 3,830.57
  5. Step 5: Solve for x
    x = 3,830.57/54.42
  6. Step 6: Final answer
    x = 70.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.