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Finding the Fourth Proportional to 76.34, 114.57 and 54.67

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Solution

The fourth proportional to 76.34, 114.57 and 54.67 is: 82.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.57 = 54.67 : x
  2. Step 2: Convert to fraction form
    76.34/114.57 = 54.67/x
  3. Step 3: Cross multiply
    76.34x = 114.57 × 54.67
  4. Step 4: Simplify right side
    76.34x = 6,262.97
  5. Step 5: Solve for x
    x = 6,262.97/76.34
  6. Step 6: Final answer
    x = 82.05

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Why These Related Problems?

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