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Finding the Fourth Proportional to 69.45, 95.88 and 47.64

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Solution

The fourth proportional to 69.45, 95.88 and 47.64 is: 65.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.45 : 95.88 = 47.64 : x
  2. Step 2: Convert to fraction form
    69.45/95.88 = 47.64/x
  3. Step 3: Cross multiply
    69.45x = 95.88 × 47.64
  4. Step 4: Simplify right side
    69.45x = 4,567.72
  5. Step 5: Solve for x
    x = 4,567.72/69.45
  6. Step 6: Final answer
    x = 65.77

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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.