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Finding the Fourth Proportional to 37.42, 51.62 and 25.16

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Solution

The fourth proportional to 37.42, 51.62 and 25.16 is: 34.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.42 : 51.62 = 25.16 : x
  2. Step 2: Convert to fraction form
    37.42/51.62 = 25.16/x
  3. Step 3: Cross multiply
    37.42x = 51.62 × 25.16
  4. Step 4: Simplify right side
    37.42x = 1,298.76
  5. Step 5: Solve for x
    x = 1,298.76/37.42
  6. Step 6: Final answer
    x = 34.71

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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.