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Finding the Fourth Proportional to 54.34, 75.47 and 53.94

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Solution

The fourth proportional to 54.34, 75.47 and 53.94 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 75.47 = 53.94 : x
  2. Step 2: Convert to fraction form
    54.34/75.47 = 53.94/x
  3. Step 3: Cross multiply
    54.34x = 75.47 × 53.94
  4. Step 4: Simplify right side
    54.34x = 4,070.85
  5. Step 5: Solve for x
    x = 4,070.85/54.34
  6. Step 6: Final answer
    x = 74.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.