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Finding the Fourth Proportional to 69.13, 95.45 and 52.84

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Solution

The fourth proportional to 69.13, 95.45 and 52.84 is: 72.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 95.45 = 52.84 : x
  2. Step 2: Convert to fraction form
    69.13/95.45 = 52.84/x
  3. Step 3: Cross multiply
    69.13x = 95.45 × 52.84
  4. Step 4: Simplify right side
    69.13x = 5,043.31
  5. Step 5: Solve for x
    x = 5,043.31/69.13
  6. Step 6: Final answer
    x = 72.95

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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.