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Finding the Fourth Proportional to 94.78, 142.30 and 51.46

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Solution

The fourth proportional to 94.78, 142.30 and 51.46 is: 77.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 142.30 = 51.46 : x
  2. Step 2: Convert to fraction form
    94.78/142.30 = 51.46/x
  3. Step 3: Cross multiply
    94.78x = 142.30 × 51.46
  4. Step 4: Simplify right side
    94.78x = 7,322.76
  5. Step 5: Solve for x
    x = 7,322.76/94.78
  6. Step 6: Final answer
    x = 77.26

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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.