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Finding the Fourth Proportional to 75.42, 103.89 and 54.64

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Solution

The fourth proportional to 75.42, 103.89 and 54.64 is: 75.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 103.89 = 54.64 : x
  2. Step 2: Convert to fraction form
    75.42/103.89 = 54.64/x
  3. Step 3: Cross multiply
    75.42x = 103.89 × 54.64
  4. Step 4: Simplify right side
    75.42x = 5,676.55
  5. Step 5: Solve for x
    x = 5,676.55/75.42
  6. Step 6: Final answer
    x = 75.27

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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.