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Finding the Fourth Proportional to 77.75, 116.42 and 52.03

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Solution

The fourth proportional to 77.75, 116.42 and 52.03 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 116.42 = 52.03 : x
  2. Step 2: Convert to fraction form
    77.75/116.42 = 52.03/x
  3. Step 3: Cross multiply
    77.75x = 116.42 × 52.03
  4. Step 4: Simplify right side
    77.75x = 6,056.49
  5. Step 5: Solve for x
    x = 6,056.49/77.75
  6. Step 6: Final answer
    x = 77.90

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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.