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Finding the Fourth Proportional to 88.64, 122.32 and 49.82

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Solution

The fourth proportional to 88.64, 122.32 and 49.82 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.64 : 122.32 = 49.82 : x
  2. Step 2: Convert to fraction form
    88.64/122.32 = 49.82/x
  3. Step 3: Cross multiply
    88.64x = 122.32 × 49.82
  4. Step 4: Simplify right side
    88.64x = 6,093.98
  5. Step 5: Solve for x
    x = 6,093.98/88.64
  6. Step 6: Final answer
    x = 68.75

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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.