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Finding the Fourth Proportional to 76.75, 114.93 and 57.43

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Solution

The fourth proportional to 76.75, 114.93 and 57.43 is: 86.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 114.93 = 57.43 : x
  2. Step 2: Convert to fraction form
    76.75/114.93 = 57.43/x
  3. Step 3: Cross multiply
    76.75x = 114.93 × 57.43
  4. Step 4: Simplify right side
    76.75x = 6,600.43
  5. Step 5: Solve for x
    x = 6,600.43/76.75
  6. Step 6: Final answer
    x = 86.00

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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.