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Finding the Fourth Proportional to 75.50, 113.16 and 29.80

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Solution

The fourth proportional to 75.50, 113.16 and 29.80 is: 44.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 113.16 = 29.80 : x
  2. Step 2: Convert to fraction form
    75.50/113.16 = 29.80/x
  3. Step 3: Cross multiply
    75.50x = 113.16 × 29.80
  4. Step 4: Simplify right side
    75.50x = 3,372.17
  5. Step 5: Solve for x
    x = 3,372.17/75.50
  6. Step 6: Final answer
    x = 44.66

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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.