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Finding the Fourth Proportional to 85.22, 117.64 and 52.46

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Solution

The fourth proportional to 85.22, 117.64 and 52.46 is: 72.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 117.64 = 52.46 : x
  2. Step 2: Convert to fraction form
    85.22/117.64 = 52.46/x
  3. Step 3: Cross multiply
    85.22x = 117.64 × 52.46
  4. Step 4: Simplify right side
    85.22x = 6,171.68
  5. Step 5: Solve for x
    x = 6,171.68/85.22
  6. Step 6: Final answer
    x = 72.42

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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.