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Finding the Fourth Proportional to 53.69, 80.58 and 53.42

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Solution

The fourth proportional to 53.69, 80.58 and 53.42 is: 80.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 80.58 = 53.42 : x
  2. Step 2: Convert to fraction form
    53.69/80.58 = 53.42/x
  3. Step 3: Cross multiply
    53.69x = 80.58 × 53.42
  4. Step 4: Simplify right side
    53.69x = 4,304.58
  5. Step 5: Solve for x
    x = 4,304.58/53.69
  6. Step 6: Final answer
    x = 80.17

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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.