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Finding the Fourth Proportional to 77.60, 106.44 and 72.14

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Solution

The fourth proportional to 77.60, 106.44 and 72.14 is: 98.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.60 : 106.44 = 72.14 : x
  2. Step 2: Convert to fraction form
    77.60/106.44 = 72.14/x
  3. Step 3: Cross multiply
    77.60x = 106.44 × 72.14
  4. Step 4: Simplify right side
    77.60x = 7,677.78
  5. Step 5: Solve for x
    x = 7,677.78/77.60
  6. Step 6: Final answer
    x = 98.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.