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Finding the Fourth Proportional to 76.12, 114.16 and 41.84

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Solution

The fourth proportional to 76.12, 114.16 and 41.84 is: 62.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.12 : 114.16 = 41.84 : x
  2. Step 2: Convert to fraction form
    76.12/114.16 = 41.84/x
  3. Step 3: Cross multiply
    76.12x = 114.16 × 41.84
  4. Step 4: Simplify right side
    76.12x = 4,775.67
  5. Step 5: Solve for x
    x = 4,775.67/76.12
  6. Step 6: Final answer
    x = 62.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.