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Finding the Fourth Proportional to 85.38, 128.02 and 52.84

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Solution

The fourth proportional to 85.38, 128.02 and 52.84 is: 79.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 128.02 = 52.84 : x
  2. Step 2: Convert to fraction form
    85.38/128.02 = 52.84/x
  3. Step 3: Cross multiply
    85.38x = 128.02 × 52.84
  4. Step 4: Simplify right side
    85.38x = 6,764.58
  5. Step 5: Solve for x
    x = 6,764.58/85.38
  6. Step 6: Final answer
    x = 79.23

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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.