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Finding the Fourth Proportional to 76.21, 113.84 and 59.05

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Solution

The fourth proportional to 76.21, 113.84 and 59.05 is: 88.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.21 : 113.84 = 59.05 : x
  2. Step 2: Convert to fraction form
    76.21/113.84 = 59.05/x
  3. Step 3: Cross multiply
    76.21x = 113.84 × 59.05
  4. Step 4: Simplify right side
    76.21x = 6,722.25
  5. Step 5: Solve for x
    x = 6,722.25/76.21
  6. Step 6: Final answer
    x = 88.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.