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Finding the Fourth Proportional to 85.92, 128.40 and 63.14

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Solution

The fourth proportional to 85.92, 128.40 and 63.14 is: 94.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 128.40 = 63.14 : x
  2. Step 2: Convert to fraction form
    85.92/128.40 = 63.14/x
  3. Step 3: Cross multiply
    85.92x = 128.40 × 63.14
  4. Step 4: Simplify right side
    85.92x = 8,107.18
  5. Step 5: Solve for x
    x = 8,107.18/85.92
  6. Step 6: Final answer
    x = 94.36

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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.