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Finding the Fourth Proportional to 64.65, 97.01 and 28.56

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Solution

The fourth proportional to 64.65, 97.01 and 28.56 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 97.01 = 28.56 : x
  2. Step 2: Convert to fraction form
    64.65/97.01 = 28.56/x
  3. Step 3: Cross multiply
    64.65x = 97.01 × 28.56
  4. Step 4: Simplify right side
    64.65x = 2,770.46
  5. Step 5: Solve for x
    x = 2,770.46/64.65
  6. Step 6: Final answer
    x = 42.85

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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.