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Finding the Fourth Proportional to 51.51, 77.14 and 25.77

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Solution

The fourth proportional to 51.51, 77.14 and 25.77 is: 38.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.51 : 77.14 = 25.77 : x
  2. Step 2: Convert to fraction form
    51.51/77.14 = 25.77/x
  3. Step 3: Cross multiply
    51.51x = 77.14 × 25.77
  4. Step 4: Simplify right side
    51.51x = 1,988.12
  5. Step 5: Solve for x
    x = 1,988.12/51.51
  6. Step 6: Final answer
    x = 38.60

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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.