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Finding the Fourth Proportional to 94.77, 142.22 and 84.71

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Solution

The fourth proportional to 94.77, 142.22 and 84.71 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.77 : 142.22 = 84.71 : x
  2. Step 2: Convert to fraction form
    94.77/142.22 = 84.71/x
  3. Step 3: Cross multiply
    94.77x = 142.22 × 84.71
  4. Step 4: Simplify right side
    94.77x = 12,048.02
  5. Step 5: Solve for x
    x = 12,048.02/94.77
  6. Step 6: Final answer
    x = 127.13

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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.