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Finding the Fourth Proportional to 53.67, 80.51 and 19.45

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Solution

The fourth proportional to 53.67, 80.51 and 19.45 is: 29.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.67 : 80.51 = 19.45 : x
  2. Step 2: Convert to fraction form
    53.67/80.51 = 19.45/x
  3. Step 3: Cross multiply
    53.67x = 80.51 × 19.45
  4. Step 4: Simplify right side
    53.67x = 1,565.92
  5. Step 5: Solve for x
    x = 1,565.92/53.67
  6. Step 6: Final answer
    x = 29.18

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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.