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Finding the Fourth Proportional to 69.41, 95.72 and 53.84

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Solution

The fourth proportional to 69.41, 95.72 and 53.84 is: 74.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.41 : 95.72 = 53.84 : x
  2. Step 2: Convert to fraction form
    69.41/95.72 = 53.84/x
  3. Step 3: Cross multiply
    69.41x = 95.72 × 53.84
  4. Step 4: Simplify right side
    69.41x = 5,153.53
  5. Step 5: Solve for x
    x = 5,153.53/69.41
  6. Step 6: Final answer
    x = 74.25

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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.