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Finding the Fourth Proportional to 69.42, 95.76 and 41.77

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Solution

The fourth proportional to 69.42, 95.76 and 41.77 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 95.76 = 41.77 : x
  2. Step 2: Convert to fraction form
    69.42/95.76 = 41.77/x
  3. Step 3: Cross multiply
    69.42x = 95.76 × 41.77
  4. Step 4: Simplify right side
    69.42x = 3,999.46
  5. Step 5: Solve for x
    x = 3,999.46/69.42
  6. Step 6: Final answer
    x = 57.62

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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.