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Finding the Fourth Proportional to 69.86, 96.50 and 53.46

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Solution

The fourth proportional to 69.86, 96.50 and 53.46 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 96.50 = 53.46 : x
  2. Step 2: Convert to fraction form
    69.86/96.50 = 53.46/x
  3. Step 3: Cross multiply
    69.86x = 96.50 × 53.46
  4. Step 4: Simplify right side
    69.86x = 5,159.02
  5. Step 5: Solve for x
    x = 5,159.02/69.86
  6. Step 6: Final answer
    x = 73.85

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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.