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Finding the Fourth Proportional to 85.72, 118.22 and 51.22

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Solution

The fourth proportional to 85.72, 118.22 and 51.22 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.72 : 118.22 = 51.22 : x
  2. Step 2: Convert to fraction form
    85.72/118.22 = 51.22/x
  3. Step 3: Cross multiply
    85.72x = 118.22 × 51.22
  4. Step 4: Simplify right side
    85.72x = 6,055.23
  5. Step 5: Solve for x
    x = 6,055.23/85.72
  6. Step 6: Final answer
    x = 70.64

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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.