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Finding the Fourth Proportional to 77.59, 116.36 and 34.25

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Solution

The fourth proportional to 77.59, 116.36 and 34.25 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.59 : 116.36 = 34.25 : x
  2. Step 2: Convert to fraction form
    77.59/116.36 = 34.25/x
  3. Step 3: Cross multiply
    77.59x = 116.36 × 34.25
  4. Step 4: Simplify right side
    77.59x = 3,984.71
  5. Step 5: Solve for x
    x = 3,984.71/77.59
  6. Step 6: Final answer
    x = 51.36

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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.