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Finding the Fourth Proportional to 69.75, 96.53 and 56.08

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Solution

The fourth proportional to 69.75, 96.53 and 56.08 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 96.53 = 56.08 : x
  2. Step 2: Convert to fraction form
    69.75/96.53 = 56.08/x
  3. Step 3: Cross multiply
    69.75x = 96.53 × 56.08
  4. Step 4: Simplify right side
    69.75x = 5,413.24
  5. Step 5: Solve for x
    x = 5,413.24/69.75
  6. Step 6: Final answer
    x = 77.61

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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.