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Finding the Fourth Proportional to 53.09, 79.70 and 32.83

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Solution

The fourth proportional to 53.09, 79.70 and 32.83 is: 49.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.09 : 79.70 = 32.83 : x
  2. Step 2: Convert to fraction form
    53.09/79.70 = 32.83/x
  3. Step 3: Cross multiply
    53.09x = 79.70 × 32.83
  4. Step 4: Simplify right side
    53.09x = 2,616.55
  5. Step 5: Solve for x
    x = 2,616.55/53.09
  6. Step 6: Final answer
    x = 49.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.