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Finding the Fourth Proportional to 76.32, 105.32 and 41.82

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Solution

The fourth proportional to 76.32, 105.32 and 41.82 is: 57.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 105.32 = 41.82 : x
  2. Step 2: Convert to fraction form
    76.32/105.32 = 41.82/x
  3. Step 3: Cross multiply
    76.32x = 105.32 × 41.82
  4. Step 4: Simplify right side
    76.32x = 4,403.75
  5. Step 5: Solve for x
    x = 4,403.75/76.32
  6. Step 6: Final answer
    x = 57.70

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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.