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Finding the Fourth Proportional to 85.92, 128.42 and 73.77

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Solution

The fourth proportional to 85.92, 128.42 and 73.77 is: 110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 128.42 = 73.77 : x
  2. Step 2: Convert to fraction form
    85.92/128.42 = 73.77/x
  3. Step 3: Cross multiply
    85.92x = 128.42 × 73.77
  4. Step 4: Simplify right side
    85.92x = 9,473.17
  5. Step 5: Solve for x
    x = 9,473.17/85.92
  6. Step 6: Final answer
    x = 110.26

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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.