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Finding the Fourth Proportional to 152.75, 228.96 and 80.57

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Solution

The fourth proportional to 152.75, 228.96 and 80.57 is: 120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.75 : 228.96 = 80.57 : x
  2. Step 2: Convert to fraction form
    152.75/228.96 = 80.57/x
  3. Step 3: Cross multiply
    152.75x = 228.96 × 80.57
  4. Step 4: Simplify right side
    152.75x = 18,446.16
  5. Step 5: Solve for x
    x = 18,446.16/152.75
  6. Step 6: Final answer
    x = 120.76

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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.