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Finding the Fourth Proportional to 76.17, 114.23 and 30.54

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Solution

The fourth proportional to 76.17, 114.23 and 30.54 is: 45.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 114.23 = 30.54 : x
  2. Step 2: Convert to fraction form
    76.17/114.23 = 30.54/x
  3. Step 3: Cross multiply
    76.17x = 114.23 × 30.54
  4. Step 4: Simplify right side
    76.17x = 3,488.43
  5. Step 5: Solve for x
    x = 3,488.43/76.17
  6. Step 6: Final answer
    x = 45.80

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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.