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Finding the Fourth Proportional to 84.54, 126.78 and 45.93

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Solution

The fourth proportional to 84.54, 126.78 and 45.93 is: 68.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.54 : 126.78 = 45.93 : x
  2. Step 2: Convert to fraction form
    84.54/126.78 = 45.93/x
  3. Step 3: Cross multiply
    84.54x = 126.78 × 45.93
  4. Step 4: Simplify right side
    84.54x = 5,823.01
  5. Step 5: Solve for x
    x = 5,823.01/84.54
  6. Step 6: Final answer
    x = 68.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.