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Finding the Fourth Proportional to 75.84, 113.85 and 75.54

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Solution

The fourth proportional to 75.84, 113.85 and 75.54 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 113.85 = 75.54 : x
  2. Step 2: Convert to fraction form
    75.84/113.85 = 75.54/x
  3. Step 3: Cross multiply
    75.84x = 113.85 × 75.54
  4. Step 4: Simplify right side
    75.84x = 8,600.23
  5. Step 5: Solve for x
    x = 8,600.23/75.84
  6. Step 6: Final answer
    x = 113.40

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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.