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Finding the Fourth Proportional to 71.04, 97.12 and 68.52

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Solution

The fourth proportional to 71.04, 97.12 and 68.52 is: 93.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 97.12 = 68.52 : x
  2. Step 2: Convert to fraction form
    71.04/97.12 = 68.52/x
  3. Step 3: Cross multiply
    71.04x = 97.12 × 68.52
  4. Step 4: Simplify right side
    71.04x = 6,654.66
  5. Step 5: Solve for x
    x = 6,654.66/71.04
  6. Step 6: Final answer
    x = 93.67

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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.