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Finding the Fourth Proportional to 64.50, 96.77 and 27.94

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Solution

The fourth proportional to 64.50, 96.77 and 27.94 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 96.77 = 27.94 : x
  2. Step 2: Convert to fraction form
    64.50/96.77 = 27.94/x
  3. Step 3: Cross multiply
    64.50x = 96.77 × 27.94
  4. Step 4: Simplify right side
    64.50x = 2,703.13
  5. Step 5: Solve for x
    x = 2,703.13/64.50
  6. Step 6: Final answer
    x = 41.91

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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.