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Finding the Fourth Proportional to 75.05, 103.54 and 57.54

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Solution

The fourth proportional to 75.05, 103.54 and 57.54 is: 79.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.05 : 103.54 = 57.54 : x
  2. Step 2: Convert to fraction form
    75.05/103.54 = 57.54/x
  3. Step 3: Cross multiply
    75.05x = 103.54 × 57.54
  4. Step 4: Simplify right side
    75.05x = 5,957.25
  5. Step 5: Solve for x
    x = 5,957.25/75.05
  6. Step 6: Final answer
    x = 79.38

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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.