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Finding the Fourth Proportional to 77.63, 116.33 and 34.26

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Solution

The fourth proportional to 77.63, 116.33 and 34.26 is: 51.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 116.33 = 34.26 : x
  2. Step 2: Convert to fraction form
    77.63/116.33 = 34.26/x
  3. Step 3: Cross multiply
    77.63x = 116.33 × 34.26
  4. Step 4: Simplify right side
    77.63x = 3,985.47
  5. Step 5: Solve for x
    x = 3,985.47/77.63
  6. Step 6: Final answer
    x = 51.34

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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.