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Finding the Fourth Proportional to 53.69, 80.15 and 46.13

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Solution

The fourth proportional to 53.69, 80.15 and 46.13 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 80.15 = 46.13 : x
  2. Step 2: Convert to fraction form
    53.69/80.15 = 46.13/x
  3. Step 3: Cross multiply
    53.69x = 80.15 × 46.13
  4. Step 4: Simplify right side
    53.69x = 3,697.09
  5. Step 5: Solve for x
    x = 3,697.09/53.69
  6. Step 6: Final answer
    x = 68.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.