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Finding the Fourth Proportional to 75.15, 103.64 and 54.41

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Solution

The fourth proportional to 75.15, 103.64 and 54.41 is: 75.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 103.64 = 54.41 : x
  2. Step 2: Convert to fraction form
    75.15/103.64 = 54.41/x
  3. Step 3: Cross multiply
    75.15x = 103.64 × 54.41
  4. Step 4: Simplify right side
    75.15x = 5,638.26
  5. Step 5: Solve for x
    x = 5,638.26/75.15
  6. Step 6: Final answer
    x = 75.03

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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.