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Finding the Fourth Proportional to 85.82, 128.79 and 53.82

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Solution

The fourth proportional to 85.82, 128.79 and 53.82 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.82 : 128.79 = 53.82 : x
  2. Step 2: Convert to fraction form
    85.82/128.79 = 53.82/x
  3. Step 3: Cross multiply
    85.82x = 128.79 × 53.82
  4. Step 4: Simplify right side
    85.82x = 6,931.48
  5. Step 5: Solve for x
    x = 6,931.48/85.82
  6. Step 6: Final answer
    x = 80.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.