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Finding the Fourth Proportional to 53.64, 80.48 and 19.42

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Solution

The fourth proportional to 53.64, 80.48 and 19.42 is: 29.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.64 : 80.48 = 19.42 : x
  2. Step 2: Convert to fraction form
    53.64/80.48 = 19.42/x
  3. Step 3: Cross multiply
    53.64x = 80.48 × 19.42
  4. Step 4: Simplify right side
    53.64x = 1,562.92
  5. Step 5: Solve for x
    x = 1,562.92/53.64
  6. Step 6: Final answer
    x = 29.14

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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.