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Finding the Fourth Proportional to 77.70, 106.99 and 66.02

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Solution

The fourth proportional to 77.70, 106.99 and 66.02 is: 90.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 106.99 = 66.02 : x
  2. Step 2: Convert to fraction form
    77.70/106.99 = 66.02/x
  3. Step 3: Cross multiply
    77.70x = 106.99 × 66.02
  4. Step 4: Simplify right side
    77.70x = 7,063.38
  5. Step 5: Solve for x
    x = 7,063.38/77.70
  6. Step 6: Final answer
    x = 90.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.