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Finding the Fourth Proportional to 77.36, 106.53 and 65.75

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Solution

The fourth proportional to 77.36, 106.53 and 65.75 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.36 : 106.53 = 65.75 : x
  2. Step 2: Convert to fraction form
    77.36/106.53 = 65.75/x
  3. Step 3: Cross multiply
    77.36x = 106.53 × 65.75
  4. Step 4: Simplify right side
    77.36x = 7,004.35
  5. Step 5: Solve for x
    x = 7,004.35/77.36
  6. Step 6: Final answer
    x = 90.54

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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.