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Finding the Fourth Proportional to 77.51, 116.30 and 34.23

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Solution

The fourth proportional to 77.51, 116.30 and 34.23 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.51 : 116.30 = 34.23 : x
  2. Step 2: Convert to fraction form
    77.51/116.30 = 34.23/x
  3. Step 3: Cross multiply
    77.51x = 116.30 × 34.23
  4. Step 4: Simplify right side
    77.51x = 3,980.75
  5. Step 5: Solve for x
    x = 3,980.75/77.51
  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.