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Finding the Fourth Proportional to 71.15, 98.02 and 52.68

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Solution

The fourth proportional to 71.15, 98.02 and 52.68 is: 72.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 98.02 = 52.68 : x
  2. Step 2: Convert to fraction form
    71.15/98.02 = 52.68/x
  3. Step 3: Cross multiply
    71.15x = 98.02 × 52.68
  4. Step 4: Simplify right side
    71.15x = 5,163.69
  5. Step 5: Solve for x
    x = 5,163.69/71.15
  6. Step 6: Final answer
    x = 72.57

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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.