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Finding the Fourth Proportional to 52, 71.76 and 36.46

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Solution

The fourth proportional to 52, 71.76 and 36.46 is: 50.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 71.76 = 36.46 : x
  2. Step 2: Convert to fraction form
    52/71.76 = 36.46/x
  3. Step 3: Cross multiply
    52x = 71.76 × 36.46
  4. Step 4: Simplify right side
    52x = 2,616.37
  5. Step 5: Solve for x
    x = 2,616.37/52
  6. Step 6: Final answer
    x = 50.31

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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.