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Finding the Fourth Proportional to 75.96, 113.47 and 66.94

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Solution

The fourth proportional to 75.96, 113.47 and 66.94 is: 100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 113.47 = 66.94 : x
  2. Step 2: Convert to fraction form
    75.96/113.47 = 66.94/x
  3. Step 3: Cross multiply
    75.96x = 113.47 × 66.94
  4. Step 4: Simplify right side
    75.96x = 7,595.68
  5. Step 5: Solve for x
    x = 7,595.68/75.96
  6. Step 6: Final answer
    x = 100.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.