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Finding the Fourth Proportional to 84.70, 116.83 and 55.23

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Solution

The fourth proportional to 84.70, 116.83 and 55.23 is: 76.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.70 : 116.83 = 55.23 : x
  2. Step 2: Convert to fraction form
    84.70/116.83 = 55.23/x
  3. Step 3: Cross multiply
    84.70x = 116.83 × 55.23
  4. Step 4: Simplify right side
    84.70x = 6,452.52
  5. Step 5: Solve for x
    x = 6,452.52/84.70
  6. Step 6: Final answer
    x = 76.18

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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.