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Finding the Fourth Proportional to 52, 71.75 and 33.59

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Solution

The fourth proportional to 52, 71.75 and 33.59 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 71.75 = 33.59 : x
  2. Step 2: Convert to fraction form
    52/71.75 = 33.59/x
  3. Step 3: Cross multiply
    52x = 71.75 × 33.59
  4. Step 4: Simplify right side
    52x = 2,410.08
  5. Step 5: Solve for x
    x = 2,410.08/52
  6. Step 6: Final answer
    x = 46.35

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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.