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Finding the Fourth Proportional to 84.32, 126.32 and 55.76

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Solution

The fourth proportional to 84.32, 126.32 and 55.76 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 126.32 = 55.76 : x
  2. Step 2: Convert to fraction form
    84.32/126.32 = 55.76/x
  3. Step 3: Cross multiply
    84.32x = 126.32 × 55.76
  4. Step 4: Simplify right side
    84.32x = 7,043.60
  5. Step 5: Solve for x
    x = 7,043.60/84.32
  6. Step 6: Final answer
    x = 83.53

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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.