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Finding the Fourth Proportional to 75.78, 104.56 and 43.03

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Solution

The fourth proportional to 75.78, 104.56 and 43.03 is: 59.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 104.56 = 43.03 : x
  2. Step 2: Convert to fraction form
    75.78/104.56 = 43.03/x
  3. Step 3: Cross multiply
    75.78x = 104.56 × 43.03
  4. Step 4: Simplify right side
    75.78x = 4,499.22
  5. Step 5: Solve for x
    x = 4,499.22/75.78
  6. Step 6: Final answer
    x = 59.37

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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.