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Finding the Fourth Proportional to 85.00, 117.24 and 55.44

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Solution

The fourth proportional to 85.00, 117.24 and 55.44 is: 76.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 117.24 = 55.44 : x
  2. Step 2: Convert to fraction form
    85.00/117.24 = 55.44/x
  3. Step 3: Cross multiply
    85.00x = 117.24 × 55.44
  4. Step 4: Simplify right side
    85.00x = 6,498.92
  5. Step 5: Solve for x
    x = 6,498.92/85.00
  6. Step 6: Final answer
    x = 76.46

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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.