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Finding the Fourth Proportional to 69.12, 95.24 and 51.60

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Solution

The fourth proportional to 69.12, 95.24 and 51.60 is: 71.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 95.24 = 51.60 : x
  2. Step 2: Convert to fraction form
    69.12/95.24 = 51.60/x
  3. Step 3: Cross multiply
    69.12x = 95.24 × 51.60
  4. Step 4: Simplify right side
    69.12x = 4,914.38
  5. Step 5: Solve for x
    x = 4,914.38/69.12
  6. Step 6: Final answer
    x = 71.10

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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.