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Finding the Fourth Proportional to 51.80, 71.46 and 29.95

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Solution

The fourth proportional to 51.80, 71.46 and 29.95 is: 41.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.80 : 71.46 = 29.95 : x
  2. Step 2: Convert to fraction form
    51.80/71.46 = 29.95/x
  3. Step 3: Cross multiply
    51.80x = 71.46 × 29.95
  4. Step 4: Simplify right side
    51.80x = 2,140.37
  5. Step 5: Solve for x
    x = 2,140.37/51.80
  6. Step 6: Final answer
    x = 41.32

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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.