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Finding the Fourth Proportional to 84.58, 116.46 and 65.14

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Solution

The fourth proportional to 84.58, 116.46 and 65.14 is: 89.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 116.46 = 65.14 : x
  2. Step 2: Convert to fraction form
    84.58/116.46 = 65.14/x
  3. Step 3: Cross multiply
    84.58x = 116.46 × 65.14
  4. Step 4: Simplify right side
    84.58x = 7,586.20
  5. Step 5: Solve for x
    x = 7,586.20/84.58
  6. Step 6: Final answer
    x = 89.69

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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.