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Finding the Fourth Proportional to 85.03, 117.34 and 46.22

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Solution

The fourth proportional to 85.03, 117.34 and 46.22 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 117.34 = 46.22 : x
  2. Step 2: Convert to fraction form
    85.03/117.34 = 46.22/x
  3. Step 3: Cross multiply
    85.03x = 117.34 × 46.22
  4. Step 4: Simplify right side
    85.03x = 5,423.45
  5. Step 5: Solve for x
    x = 5,423.45/85.03
  6. Step 6: Final answer
    x = 63.78

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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.