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Finding the Fourth Proportional to 79.14, 118.49 and 77.06

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Solution

The fourth proportional to 79.14, 118.49 and 77.06 is: 115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.14 : 118.49 = 77.06 : x
  2. Step 2: Convert to fraction form
    79.14/118.49 = 77.06/x
  3. Step 3: Cross multiply
    79.14x = 118.49 × 77.06
  4. Step 4: Simplify right side
    79.14x = 9,130.84
  5. Step 5: Solve for x
    x = 9,130.84/79.14
  6. Step 6: Final answer
    x = 115.38

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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.