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Finding the Fourth Proportional to 71.24, 98.17 and 65.03

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Solution

The fourth proportional to 71.24, 98.17 and 65.03 is: 89.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 98.17 = 65.03 : x
  2. Step 2: Convert to fraction form
    71.24/98.17 = 65.03/x
  3. Step 3: Cross multiply
    71.24x = 98.17 × 65.03
  4. Step 4: Simplify right side
    71.24x = 6,383.34
  5. Step 5: Solve for x
    x = 6,383.34/71.24
  6. Step 6: Final answer
    x = 89.61

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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.