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Finding the Fourth Proportional to 77.64, 117.02 and 75.82

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Solution

The fourth proportional to 77.64, 117.02 and 75.82 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 117.02 = 75.82 : x
  2. Step 2: Convert to fraction form
    77.64/117.02 = 75.82/x
  3. Step 3: Cross multiply
    77.64x = 117.02 × 75.82
  4. Step 4: Simplify right side
    77.64x = 8,872.46
  5. Step 5: Solve for x
    x = 8,872.46/77.64
  6. Step 6: Final answer
    x = 114.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.