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Finding the Fourth Proportional to 69.78, 96.36 and 46.50

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Solution

The fourth proportional to 69.78, 96.36 and 46.50 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 96.36 = 46.50 : x
  2. Step 2: Convert to fraction form
    69.78/96.36 = 46.50/x
  3. Step 3: Cross multiply
    69.78x = 96.36 × 46.50
  4. Step 4: Simplify right side
    69.78x = 4,480.74
  5. Step 5: Solve for x
    x = 4,480.74/69.78
  6. Step 6: Final answer
    x = 64.21

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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.