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Finding the Fourth Proportional to 64.78, 97.19 and 24.21

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Solution

The fourth proportional to 64.78, 97.19 and 24.21 is: 36.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 97.19 = 24.21 : x
  2. Step 2: Convert to fraction form
    64.78/97.19 = 24.21/x
  3. Step 3: Cross multiply
    64.78x = 97.19 × 24.21
  4. Step 4: Simplify right side
    64.78x = 2,352.50
  5. Step 5: Solve for x
    x = 2,352.50/64.78
  6. Step 6: Final answer
    x = 36.31

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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.