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Finding the Fourth Proportional to 64.70, 97.04 and 35.82

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Solution

The fourth proportional to 64.70, 97.04 and 35.82 is: 53.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.70 : 97.04 = 35.82 : x
  2. Step 2: Convert to fraction form
    64.70/97.04 = 35.82/x
  3. Step 3: Cross multiply
    64.70x = 97.04 × 35.82
  4. Step 4: Simplify right side
    64.70x = 3,475.93
  5. Step 5: Solve for x
    x = 3,475.93/64.70
  6. Step 6: Final answer
    x = 53.73

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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.