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Finding the Fourth Proportional to 69.85, 96.29 and 53.45

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Solution

The fourth proportional to 69.85, 96.29 and 53.45 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.85 : 96.29 = 53.45 : x
  2. Step 2: Convert to fraction form
    69.85/96.29 = 53.45/x
  3. Step 3: Cross multiply
    69.85x = 96.29 × 53.45
  4. Step 4: Simplify right side
    69.85x = 5,145.95
  5. Step 5: Solve for x
    x = 5,145.95/69.85
  6. Step 6: Final answer
    x = 73.68

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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.