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Finding the Fourth Proportional to 53.29, 80.00 and 42.59

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Solution

The fourth proportional to 53.29, 80.00 and 42.59 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.29 : 80.00 = 42.59 : x
  2. Step 2: Convert to fraction form
    53.29/80.00 = 42.59/x
  3. Step 3: Cross multiply
    53.29x = 80.00 × 42.59
  4. Step 4: Simplify right side
    53.29x = 3,407.05
  5. Step 5: Solve for x
    x = 3,407.05/53.29
  6. Step 6: Final answer
    x = 63.93

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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.