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Finding the Fourth Proportional to 42.04, 57.69 and 37.42

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Solution

The fourth proportional to 42.04, 57.69 and 37.42 is: 51.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 57.69 = 37.42 : x
  2. Step 2: Convert to fraction form
    42.04/57.69 = 37.42/x
  3. Step 3: Cross multiply
    42.04x = 57.69 × 37.42
  4. Step 4: Simplify right side
    42.04x = 2,158.76
  5. Step 5: Solve for x
    x = 2,158.76/42.04
  6. Step 6: Final answer
    x = 51.35

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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.