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Finding the Fourth Proportional to 84.49, 116.55 and 53.41

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Solution

The fourth proportional to 84.49, 116.55 and 53.41 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.49 : 116.55 = 53.41 : x
  2. Step 2: Convert to fraction form
    84.49/116.55 = 53.41/x
  3. Step 3: Cross multiply
    84.49x = 116.55 × 53.41
  4. Step 4: Simplify right side
    84.49x = 6,224.94
  5. Step 5: Solve for x
    x = 6,224.94/84.49
  6. Step 6: Final answer
    x = 73.68

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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.