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Finding the Fourth Proportional to 77.40, 116.10 and 66.84

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Solution

The fourth proportional to 77.40, 116.10 and 66.84 is: 100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.40 : 116.10 = 66.84 : x
  2. Step 2: Convert to fraction form
    77.40/116.10 = 66.84/x
  3. Step 3: Cross multiply
    77.40x = 116.10 × 66.84
  4. Step 4: Simplify right side
    77.40x = 7,760.12
  5. Step 5: Solve for x
    x = 7,760.12/77.40
  6. Step 6: Final answer
    x = 100.26

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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.