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Finding the Fourth Proportional to 64.88, 97.24 and 34.42

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Solution

The fourth proportional to 64.88, 97.24 and 34.42 is: 51.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 97.24 = 34.42 : x
  2. Step 2: Convert to fraction form
    64.88/97.24 = 34.42/x
  3. Step 3: Cross multiply
    64.88x = 97.24 × 34.42
  4. Step 4: Simplify right side
    64.88x = 3,347.00
  5. Step 5: Solve for x
    x = 3,347.00/64.88
  6. Step 6: Final answer
    x = 51.59

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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.