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Finding the Fourth Proportional to 84.30, 116.18 and 55.14

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Solution

The fourth proportional to 84.30, 116.18 and 55.14 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.30 : 116.18 = 55.14 : x
  2. Step 2: Convert to fraction form
    84.30/116.18 = 55.14/x
  3. Step 3: Cross multiply
    84.30x = 116.18 × 55.14
  4. Step 4: Simplify right side
    84.30x = 6,406.17
  5. Step 5: Solve for x
    x = 6,406.17/84.30
  6. Step 6: Final answer
    x = 75.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.