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Finding the Fourth Proportional to 77.84, 116.56 and 57.57

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Solution

The fourth proportional to 77.84, 116.56 and 57.57 is: 86.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 116.56 = 57.57 : x
  2. Step 2: Convert to fraction form
    77.84/116.56 = 57.57/x
  3. Step 3: Cross multiply
    77.84x = 116.56 × 57.57
  4. Step 4: Simplify right side
    77.84x = 6,710.36
  5. Step 5: Solve for x
    x = 6,710.36/77.84
  6. Step 6: Final answer
    x = 86.21

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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.