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Finding the Fourth Proportional to 68.94, 95.10 and 49.50

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Solution

The fourth proportional to 68.94, 95.10 and 49.50 is: 68.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 95.10 = 49.50 : x
  2. Step 2: Convert to fraction form
    68.94/95.10 = 49.50/x
  3. Step 3: Cross multiply
    68.94x = 95.10 × 49.50
  4. Step 4: Simplify right side
    68.94x = 4,707.45
  5. Step 5: Solve for x
    x = 4,707.45/68.94
  6. Step 6: Final answer
    x = 68.28

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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.