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Finding the Fourth Proportional to 54.10, 74.60 and 51.42

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Solution

The fourth proportional to 54.10, 74.60 and 51.42 is: 70.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.10 : 74.60 = 51.42 : x
  2. Step 2: Convert to fraction form
    54.10/74.60 = 51.42/x
  3. Step 3: Cross multiply
    54.10x = 74.60 × 51.42
  4. Step 4: Simplify right side
    54.10x = 3,835.93
  5. Step 5: Solve for x
    x = 3,835.93/54.10
  6. Step 6: Final answer
    x = 70.90

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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.