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Finding the Fourth Proportional to 64.96, 97.47 and 30.68

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Solution

The fourth proportional to 64.96, 97.47 and 30.68 is: 46.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.96 : 97.47 = 30.68 : x
  2. Step 2: Convert to fraction form
    64.96/97.47 = 30.68/x
  3. Step 3: Cross multiply
    64.96x = 97.47 × 30.68
  4. Step 4: Simplify right side
    64.96x = 2,990.13
  5. Step 5: Solve for x
    x = 2,990.13/64.96
  6. Step 6: Final answer
    x = 46.03

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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.