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Finding the Fourth Proportional to 52.61, 72.61 and 33.21

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Solution

The fourth proportional to 52.61, 72.61 and 33.21 is: 45.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.61 : 72.61 = 33.21 : x
  2. Step 2: Convert to fraction form
    52.61/72.61 = 33.21/x
  3. Step 3: Cross multiply
    52.61x = 72.61 × 33.21
  4. Step 4: Simplify right side
    52.61x = 2,411.38
  5. Step 5: Solve for x
    x = 2,411.38/52.61
  6. Step 6: Final answer
    x = 45.83

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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.