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Finding the Fourth Proportional to 71.02, 97.91 and 47.67

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Solution

The fourth proportional to 71.02, 97.91 and 47.67 is: 65.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 97.91 = 47.67 : x
  2. Step 2: Convert to fraction form
    71.02/97.91 = 47.67/x
  3. Step 3: Cross multiply
    71.02x = 97.91 × 47.67
  4. Step 4: Simplify right side
    71.02x = 4,667.37
  5. Step 5: Solve for x
    x = 4,667.37/71.02
  6. Step 6: Final answer
    x = 65.72

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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.