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Finding the Fourth Proportional to 69.07, 95.24 and 53.50

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Solution

The fourth proportional to 69.07, 95.24 and 53.50 is: 73.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.07 : 95.24 = 53.50 : x
  2. Step 2: Convert to fraction form
    69.07/95.24 = 53.50/x
  3. Step 3: Cross multiply
    69.07x = 95.24 × 53.50
  4. Step 4: Simplify right side
    69.07x = 5,095.24
  5. Step 5: Solve for x
    x = 5,095.24/69.07
  6. Step 6: Final answer
    x = 73.77

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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.