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Finding the Fourth Proportional to 69.80, 96.14 and 53.42

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Solution

The fourth proportional to 69.80, 96.14 and 53.42 is: 73.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.80 : 96.14 = 53.42 : x
  2. Step 2: Convert to fraction form
    69.80/96.14 = 53.42/x
  3. Step 3: Cross multiply
    69.80x = 96.14 × 53.42
  4. Step 4: Simplify right side
    69.80x = 5,135.45
  5. Step 5: Solve for x
    x = 5,135.45/69.80
  6. Step 6: Final answer
    x = 73.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.