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Finding the Fourth Proportional to 84.93, 117.23 and 52.23

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Solution

The fourth proportional to 84.93, 117.23 and 52.23 is: 72.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.93 : 117.23 = 52.23 : x
  2. Step 2: Convert to fraction form
    84.93/117.23 = 52.23/x
  3. Step 3: Cross multiply
    84.93x = 117.23 × 52.23
  4. Step 4: Simplify right side
    84.93x = 6,122.66
  5. Step 5: Solve for x
    x = 6,122.66/84.93
  6. Step 6: Final answer
    x = 72.09

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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.