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Finding the Fourth Proportional to 68.94, 95.14 and 45.67

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Solution

The fourth proportional to 68.94, 95.14 and 45.67 is: 63.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 95.14 = 45.67 : x
  2. Step 2: Convert to fraction form
    68.94/95.14 = 45.67/x
  3. Step 3: Cross multiply
    68.94x = 95.14 × 45.67
  4. Step 4: Simplify right side
    68.94x = 4,345.04
  5. Step 5: Solve for x
    x = 4,345.04/68.94
  6. Step 6: Final answer
    x = 63.03

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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.