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Finding the Fourth Proportional to 76.45, 105.49 and 64.84

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Solution

The fourth proportional to 76.45, 105.49 and 64.84 is: 89.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 105.49 = 64.84 : x
  2. Step 2: Convert to fraction form
    76.45/105.49 = 64.84/x
  3. Step 3: Cross multiply
    76.45x = 105.49 × 64.84
  4. Step 4: Simplify right side
    76.45x = 6,839.97
  5. Step 5: Solve for x
    x = 6,839.97/76.45
  6. Step 6: Final answer
    x = 89.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.