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Finding the Fourth Proportional to 53.39, 80.00 and 52.08

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Solution

The fourth proportional to 53.39, 80.00 and 52.08 is: 78.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.39 : 80.00 = 52.08 : x
  2. Step 2: Convert to fraction form
    53.39/80.00 = 52.08/x
  3. Step 3: Cross multiply
    53.39x = 80.00 × 52.08
  4. Step 4: Simplify right side
    53.39x = 4,166.14
  5. Step 5: Solve for x
    x = 4,166.14/53.39
  6. Step 6: Final answer
    x = 78.04

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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.