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Finding the Fourth Proportional to 64.89, 97.28 and 24.29

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Solution

The fourth proportional to 64.89, 97.28 and 24.29 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 97.28 = 24.29 : x
  2. Step 2: Convert to fraction form
    64.89/97.28 = 24.29/x
  3. Step 3: Cross multiply
    64.89x = 97.28 × 24.29
  4. Step 4: Simplify right side
    64.89x = 2,362.32
  5. Step 5: Solve for x
    x = 2,362.32/64.89
  6. Step 6: Final answer
    x = 36.41

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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.