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Finding the Fourth Proportional to 64.08, 96.50 and 54.66

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Solution

The fourth proportional to 64.08, 96.50 and 54.66 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.08 : 96.50 = 54.66 : x
  2. Step 2: Convert to fraction form
    64.08/96.50 = 54.66/x
  3. Step 3: Cross multiply
    64.08x = 96.50 × 54.66
  4. Step 4: Simplify right side
    64.08x = 5,274.69
  5. Step 5: Solve for x
    x = 5,274.69/64.08
  6. Step 6: Final answer
    x = 82.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.