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Finding the Fourth Proportional to 27.42, 37.76 and 25.83

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Solution

The fourth proportional to 27.42, 37.76 and 25.83 is: 35.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 37.76 = 25.83 : x
  2. Step 2: Convert to fraction form
    27.42/37.76 = 25.83/x
  3. Step 3: Cross multiply
    27.42x = 37.76 × 25.83
  4. Step 4: Simplify right side
    27.42x = 975.34
  5. Step 5: Solve for x
    x = 975.34/27.42
  6. Step 6: Final answer
    x = 35.57

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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.