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Finding the Fourth Proportional to 85.30, 117.65 and 54.22

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Solution

The fourth proportional to 85.30, 117.65 and 54.22 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.30 : 117.65 = 54.22 : x
  2. Step 2: Convert to fraction form
    85.30/117.65 = 54.22/x
  3. Step 3: Cross multiply
    85.30x = 117.65 × 54.22
  4. Step 4: Simplify right side
    85.30x = 6,379.05
  5. Step 5: Solve for x
    x = 6,379.05/85.30
  6. Step 6: Final answer
    x = 74.78

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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.