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Finding the Fourth Proportional to 89.07, 122.85 and 57.95

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Solution

The fourth proportional to 89.07, 122.85 and 57.95 is: 79.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 122.85 = 57.95 : x
  2. Step 2: Convert to fraction form
    89.07/122.85 = 57.95/x
  3. Step 3: Cross multiply
    89.07x = 122.85 × 57.95
  4. Step 4: Simplify right side
    89.07x = 7,119.00
  5. Step 5: Solve for x
    x = 7,119.00/89.07
  6. Step 6: Final answer
    x = 79.93

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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.