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Finding the Fourth Proportional to 71.63, 98.82 and 53.21

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Solution

The fourth proportional to 71.63, 98.82 and 53.21 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 98.82 = 53.21 : x
  2. Step 2: Convert to fraction form
    71.63/98.82 = 53.21/x
  3. Step 3: Cross multiply
    71.63x = 98.82 × 53.21
  4. Step 4: Simplify right side
    71.63x = 5,258.21
  5. Step 5: Solve for x
    x = 5,258.21/71.63
  6. Step 6: Final answer
    x = 73.41

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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.