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Finding the Fourth Proportional to 75.11, 103.59 and 54.35

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Solution

The fourth proportional to 75.11, 103.59 and 54.35 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 103.59 = 54.35 : x
  2. Step 2: Convert to fraction form
    75.11/103.59 = 54.35/x
  3. Step 3: Cross multiply
    75.11x = 103.59 × 54.35
  4. Step 4: Simplify right side
    75.11x = 5,630.12
  5. Step 5: Solve for x
    x = 5,630.12/75.11
  6. Step 6: Final answer
    x = 74.96

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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.