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Finding the Fourth Proportional to 75.45, 112.95 and 57.30

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Solution

The fourth proportional to 75.45, 112.95 and 57.30 is: 85.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 112.95 = 57.30 : x
  2. Step 2: Convert to fraction form
    75.45/112.95 = 57.30/x
  3. Step 3: Cross multiply
    75.45x = 112.95 × 57.30
  4. Step 4: Simplify right side
    75.45x = 6,472.04
  5. Step 5: Solve for x
    x = 6,472.04/75.45
  6. Step 6: Final answer
    x = 85.78

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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.