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Finding the Fourth Proportional to 77.63, 116.37 and 57.07

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Solution

The fourth proportional to 77.63, 116.37 and 57.07 is: 85.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 116.37 = 57.07 : x
  2. Step 2: Convert to fraction form
    77.63/116.37 = 57.07/x
  3. Step 3: Cross multiply
    77.63x = 116.37 × 57.07
  4. Step 4: Simplify right side
    77.63x = 6,641.38
  5. Step 5: Solve for x
    x = 6,641.38/77.63
  6. Step 6: Final answer
    x = 85.56

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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.