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Finding the Fourth Proportional to 77.28, 116.07 and 59.37

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Solution

The fourth proportional to 77.28, 116.07 and 59.37 is: 89.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 116.07 = 59.37 : x
  2. Step 2: Convert to fraction form
    77.28/116.07 = 59.37/x
  3. Step 3: Cross multiply
    77.28x = 116.07 × 59.37
  4. Step 4: Simplify right side
    77.28x = 6,891.08
  5. Step 5: Solve for x
    x = 6,891.08/77.28
  6. Step 6: Final answer
    x = 89.17

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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.