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Finding the Fourth Proportional to 94.78, 141.26 and 90.76

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Solution

The fourth proportional to 94.78, 141.26 and 90.76 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 141.26 = 90.76 : x
  2. Step 2: Convert to fraction form
    94.78/141.26 = 90.76/x
  3. Step 3: Cross multiply
    94.78x = 141.26 × 90.76
  4. Step 4: Simplify right side
    94.78x = 12,820.76
  5. Step 5: Solve for x
    x = 12,820.76/94.78
  6. Step 6: Final answer
    x = 135.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.