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Finding the Fourth Proportional to 75.31, 103.84 and 56.83

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Solution

The fourth proportional to 75.31, 103.84 and 56.83 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 103.84 = 56.83 : x
  2. Step 2: Convert to fraction form
    75.31/103.84 = 56.83/x
  3. Step 3: Cross multiply
    75.31x = 103.84 × 56.83
  4. Step 4: Simplify right side
    75.31x = 5,901.23
  5. Step 5: Solve for x
    x = 5,901.23/75.31
  6. Step 6: Final answer
    x = 78.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.