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Finding the Fourth Proportional to 69.84, 96.46 and 57.70

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Solution

The fourth proportional to 69.84, 96.46 and 57.70 is: 79.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 96.46 = 57.70 : x
  2. Step 2: Convert to fraction form
    69.84/96.46 = 57.70/x
  3. Step 3: Cross multiply
    69.84x = 96.46 × 57.70
  4. Step 4: Simplify right side
    69.84x = 5,565.74
  5. Step 5: Solve for x
    x = 5,565.74/69.84
  6. Step 6: Final answer
    x = 79.69

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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.