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Finding the Fourth Proportional to 84, 126.02 and 26.22

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Solution

The fourth proportional to 84, 126.02 and 26.22 is: 39.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 126.02 = 26.22 : x
  2. Step 2: Convert to fraction form
    84/126.02 = 26.22/x
  3. Step 3: Cross multiply
    84x = 126.02 × 26.22
  4. Step 4: Simplify right side
    84x = 3,304.24
  5. Step 5: Solve for x
    x = 3,304.24/84
  6. Step 6: Final answer
    x = 39.34

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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.