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Finding the Fourth Proportional to 51.66, 77.42 and 25.95

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Solution

The fourth proportional to 51.66, 77.42 and 25.95 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.42 = 25.95 : x
  2. Step 2: Convert to fraction form
    51.66/77.42 = 25.95/x
  3. Step 3: Cross multiply
    51.66x = 77.42 × 25.95
  4. Step 4: Simplify right side
    51.66x = 2,009.13
  5. Step 5: Solve for x
    x = 2,009.13/51.66
  6. Step 6: Final answer
    x = 38.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.