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Finding the Fourth Proportional to 77.09, 106.26 and 56.33

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Solution

The fourth proportional to 77.09, 106.26 and 56.33 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.26 = 56.33 : x
  2. Step 2: Convert to fraction form
    77.09/106.26 = 56.33/x
  3. Step 3: Cross multiply
    77.09x = 106.26 × 56.33
  4. Step 4: Simplify right side
    77.09x = 5,985.09
  5. Step 5: Solve for x
    x = 5,985.09/77.09
  6. Step 6: Final answer
    x = 77.64

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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.