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Finding the Fourth Proportional to 76.34, 105.22 and 55.29

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Solution

The fourth proportional to 76.34, 105.22 and 55.29 is: 76.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 105.22 = 55.29 : x
  2. Step 2: Convert to fraction form
    76.34/105.22 = 55.29/x
  3. Step 3: Cross multiply
    76.34x = 105.22 × 55.29
  4. Step 4: Simplify right side
    76.34x = 5,817.61
  5. Step 5: Solve for x
    x = 5,817.61/76.34
  6. Step 6: Final answer
    x = 76.21

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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.