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Finding the Fourth Proportional to 51.98, 71.76 and 33.60

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Solution

The fourth proportional to 51.98, 71.76 and 33.60 is: 46.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.98 : 71.76 = 33.60 : x
  2. Step 2: Convert to fraction form
    51.98/71.76 = 33.60/x
  3. Step 3: Cross multiply
    51.98x = 71.76 × 33.60
  4. Step 4: Simplify right side
    51.98x = 2,411.14
  5. Step 5: Solve for x
    x = 2,411.14/51.98
  6. Step 6: Final answer
    x = 46.39

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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.