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Finding the Fourth Proportional to 71.34, 97.86 and 71.34

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Solution

The fourth proportional to 71.34, 97.86 and 71.34 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.34 : 97.86 = 71.34 : x
  2. Step 2: Convert to fraction form
    71.34/97.86 = 71.34/x
  3. Step 3: Cross multiply
    71.34x = 97.86 × 71.34
  4. Step 4: Simplify right side
    71.34x = 6,981.33
  5. Step 5: Solve for x
    x = 6,981.33/71.34
  6. Step 6: Final answer
    x = 97.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.