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Finding the Fourth Proportional to 52.66, 72.71 and 36.33

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Solution

The fourth proportional to 52.66, 72.71 and 36.33 is: 50.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.66 : 72.71 = 36.33 : x
  2. Step 2: Convert to fraction form
    52.66/72.71 = 36.33/x
  3. Step 3: Cross multiply
    52.66x = 72.71 × 36.33
  4. Step 4: Simplify right side
    52.66x = 2,641.55
  5. Step 5: Solve for x
    x = 2,641.55/52.66
  6. Step 6: Final answer
    x = 50.16

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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.