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Finding the Fourth Proportional to 76.79, 114.73 and 76.43

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Solution

The fourth proportional to 76.79, 114.73 and 76.43 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.79 : 114.73 = 76.43 : x
  2. Step 2: Convert to fraction form
    76.79/114.73 = 76.43/x
  3. Step 3: Cross multiply
    76.79x = 114.73 × 76.43
  4. Step 4: Simplify right side
    76.79x = 8,768.91
  5. Step 5: Solve for x
    x = 8,768.91/76.79
  6. Step 6: Final answer
    x = 114.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.