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Finding the Fourth Proportional to 94.74, 142.10 and 26.26

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Solution

The fourth proportional to 94.74, 142.10 and 26.26 is: 39.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.74 : 142.10 = 26.26 : x
  2. Step 2: Convert to fraction form
    94.74/142.10 = 26.26/x
  3. Step 3: Cross multiply
    94.74x = 142.10 × 26.26
  4. Step 4: Simplify right side
    94.74x = 3,731.08
  5. Step 5: Solve for x
    x = 3,731.08/94.74
  6. Step 6: Final answer
    x = 39.38

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