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Finding the Fourth Proportional to 64.81, 97 and 47.68

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Solution

The fourth proportional to 64.81, 97 and 47.68 is: 71.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.81 : 97 = 47.68 : x
  2. Step 2: Convert to fraction form
    64.81/97 = 47.68/x
  3. Step 3: Cross multiply
    64.81x = 97 × 47.68
  4. Step 4: Simplify right side
    64.81x = 4,625.20
  5. Step 5: Solve for x
    x = 4,625.20/64.81
  6. Step 6: Final answer
    x = 71.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.