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Finding the Fourth Proportional to 88.89, 122.67 and 57.84

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Solution

The fourth proportional to 88.89, 122.67 and 57.84 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.89 : 122.67 = 57.84 : x
  2. Step 2: Convert to fraction form
    88.89/122.67 = 57.84/x
  3. Step 3: Cross multiply
    88.89x = 122.67 × 57.84
  4. Step 4: Simplify right side
    88.89x = 7,095.23
  5. Step 5: Solve for x
    x = 7,095.23/88.89
  6. Step 6: Final answer
    x = 79.82

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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.