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Finding the Fourth Proportional to 64.86, 96.56 and 63.52

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Solution

The fourth proportional to 64.86, 96.56 and 63.52 is: 94.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 96.56 = 63.52 : x
  2. Step 2: Convert to fraction form
    64.86/96.56 = 63.52/x
  3. Step 3: Cross multiply
    64.86x = 96.56 × 63.52
  4. Step 4: Simplify right side
    64.86x = 6,133.49
  5. Step 5: Solve for x
    x = 6,133.49/64.86
  6. Step 6: Final answer
    x = 94.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.