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Finding the Fourth Proportional to 77.64, 107.14 and 51.80

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Solution

The fourth proportional to 77.64, 107.14 and 51.80 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 107.14 = 51.80 : x
  2. Step 2: Convert to fraction form
    77.64/107.14 = 51.80/x
  3. Step 3: Cross multiply
    77.64x = 107.14 × 51.80
  4. Step 4: Simplify right side
    77.64x = 5,549.85
  5. Step 5: Solve for x
    x = 5,549.85/77.64
  6. Step 6: Final answer
    x = 71.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.