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Finding the Fourth Proportional to 75.39, 113.64 and 74.31

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Solution

The fourth proportional to 75.39, 113.64 and 74.31 is: 112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 113.64 = 74.31 : x
  2. Step 2: Convert to fraction form
    75.39/113.64 = 74.31/x
  3. Step 3: Cross multiply
    75.39x = 113.64 × 74.31
  4. Step 4: Simplify right side
    75.39x = 8,444.59
  5. Step 5: Solve for x
    x = 8,444.59/75.39
  6. Step 6: Final answer
    x = 112.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.