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Finding the Fourth Proportional to 77.23, 106.56 and 55.06

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Solution

The fourth proportional to 77.23, 106.56 and 55.06 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 106.56 = 55.06 : x
  2. Step 2: Convert to fraction form
    77.23/106.56 = 55.06/x
  3. Step 3: Cross multiply
    77.23x = 106.56 × 55.06
  4. Step 4: Simplify right side
    77.23x = 5,867.19
  5. Step 5: Solve for x
    x = 5,867.19/77.23
  6. Step 6: Final answer
    x = 75.97

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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.