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Finding the Fourth Proportional to 76.65, 114.94 and 22.53

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Solution

The fourth proportional to 76.65, 114.94 and 22.53 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 114.94 = 22.53 : x
  2. Step 2: Convert to fraction form
    76.65/114.94 = 22.53/x
  3. Step 3: Cross multiply
    76.65x = 114.94 × 22.53
  4. Step 4: Simplify right side
    76.65x = 2,589.89
  5. Step 5: Solve for x
    x = 2,589.89/76.65
  6. Step 6: Final answer
    x = 33.79

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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.