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Finding the Fourth Proportional to 85.05, 117.33 and 53.91

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Solution

The fourth proportional to 85.05, 117.33 and 53.91 is: 74.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.05 : 117.33 = 53.91 : x
  2. Step 2: Convert to fraction form
    85.05/117.33 = 53.91/x
  3. Step 3: Cross multiply
    85.05x = 117.33 × 53.91
  4. Step 4: Simplify right side
    85.05x = 6,325.39
  5. Step 5: Solve for x
    x = 6,325.39/85.05
  6. Step 6: Final answer
    x = 74.37

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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.