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Finding the Fourth Proportional to 75.63, 113.73 and 57.69

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Solution

The fourth proportional to 75.63, 113.73 and 57.69 is: 86.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 113.73 = 57.69 : x
  2. Step 2: Convert to fraction form
    75.63/113.73 = 57.69/x
  3. Step 3: Cross multiply
    75.63x = 113.73 × 57.69
  4. Step 4: Simplify right side
    75.63x = 6,561.08
  5. Step 5: Solve for x
    x = 6,561.08/75.63
  6. Step 6: Final answer
    x = 86.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.