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Finding the Fourth Proportional to 64.52, 96.68 and 34.02

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Solution

The fourth proportional to 64.52, 96.68 and 34.02 is: 50.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.52 : 96.68 = 34.02 : x
  2. Step 2: Convert to fraction form
    64.52/96.68 = 34.02/x
  3. Step 3: Cross multiply
    64.52x = 96.68 × 34.02
  4. Step 4: Simplify right side
    64.52x = 3,289.14
  5. Step 5: Solve for x
    x = 3,289.14/64.52
  6. Step 6: Final answer
    x = 50.98

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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.