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Finding the Fourth Proportional to 76.46, 114.69 and 50.81

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Solution

The fourth proportional to 76.46, 114.69 and 50.81 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.46 : 114.69 = 50.81 : x
  2. Step 2: Convert to fraction form
    76.46/114.69 = 50.81/x
  3. Step 3: Cross multiply
    76.46x = 114.69 × 50.81
  4. Step 4: Simplify right side
    76.46x = 5,827.40
  5. Step 5: Solve for x
    x = 5,827.40/76.46
  6. Step 6: Final answer
    x = 76.22

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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.