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Finding the Fourth Proportional to 53.14, 79.26 and 51.38

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Solution

The fourth proportional to 53.14, 79.26 and 51.38 is: 76.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 79.26 = 51.38 : x
  2. Step 2: Convert to fraction form
    53.14/79.26 = 51.38/x
  3. Step 3: Cross multiply
    53.14x = 79.26 × 51.38
  4. Step 4: Simplify right side
    53.14x = 4,072.38
  5. Step 5: Solve for x
    x = 4,072.38/53.14
  6. Step 6: Final answer
    x = 76.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.