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Finding the Fourth Proportional to 77.64, 115.89 and 68.53

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Solution

The fourth proportional to 77.64, 115.89 and 68.53 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 115.89 = 68.53 : x
  2. Step 2: Convert to fraction form
    77.64/115.89 = 68.53/x
  3. Step 3: Cross multiply
    77.64x = 115.89 × 68.53
  4. Step 4: Simplify right side
    77.64x = 7,941.60
  5. Step 5: Solve for x
    x = 7,941.60/77.64
  6. Step 6: Final answer
    x = 102.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.