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Finding the Fourth Proportional to 84.58, 127.02 and 61.84

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Solution

The fourth proportional to 84.58, 127.02 and 61.84 is: 92.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 127.02 = 61.84 : x
  2. Step 2: Convert to fraction form
    84.58/127.02 = 61.84/x
  3. Step 3: Cross multiply
    84.58x = 127.02 × 61.84
  4. Step 4: Simplify right side
    84.58x = 7,854.92
  5. Step 5: Solve for x
    x = 7,854.92/84.58
  6. Step 6: Final answer
    x = 92.87

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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.