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Finding the Fourth Proportional to 69.64, 96.12 and 52.36

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Solution

The fourth proportional to 69.64, 96.12 and 52.36 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 96.12 = 52.36 : x
  2. Step 2: Convert to fraction form
    69.64/96.12 = 52.36/x
  3. Step 3: Cross multiply
    69.64x = 96.12 × 52.36
  4. Step 4: Simplify right side
    69.64x = 5,032.84
  5. Step 5: Solve for x
    x = 5,032.84/69.64
  6. Step 6: Final answer
    x = 72.27

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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.