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Finding the Fourth Proportional to 97.78, 134.94 and 54.12

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Solution

The fourth proportional to 97.78, 134.94 and 54.12 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 134.94 = 54.12 : x
  2. Step 2: Convert to fraction form
    97.78/134.94 = 54.12/x
  3. Step 3: Cross multiply
    97.78x = 134.94 × 54.12
  4. Step 4: Simplify right side
    97.78x = 7,302.85
  5. Step 5: Solve for x
    x = 7,302.85/97.78
  6. Step 6: Final answer
    x = 74.69

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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.