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Finding the Fourth Proportional to 77.70, 116.62 and 64.94

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Solution

The fourth proportional to 77.70, 116.62 and 64.94 is: 97.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 116.62 = 64.94 : x
  2. Step 2: Convert to fraction form
    77.70/116.62 = 64.94/x
  3. Step 3: Cross multiply
    77.70x = 116.62 × 64.94
  4. Step 4: Simplify right side
    77.70x = 7,573.30
  5. Step 5: Solve for x
    x = 7,573.30/77.70
  6. Step 6: Final answer
    x = 97.47

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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.