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Finding the Fourth Proportional to 84.45, 116.33 and 65.01

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Solution

The fourth proportional to 84.45, 116.33 and 65.01 is: 89.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.45 : 116.33 = 65.01 : x
  2. Step 2: Convert to fraction form
    84.45/116.33 = 65.01/x
  3. Step 3: Cross multiply
    84.45x = 116.33 × 65.01
  4. Step 4: Simplify right side
    84.45x = 7,562.29
  5. Step 5: Solve for x
    x = 7,562.29/84.45
  6. Step 6: Final answer
    x = 89.55

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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.