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Finding the Fourth Proportional to 84.50, 116.64 and 65.06

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Solution

The fourth proportional to 84.50, 116.64 and 65.06 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 116.64 = 65.06 : x
  2. Step 2: Convert to fraction form
    84.50/116.64 = 65.06/x
  3. Step 3: Cross multiply
    84.50x = 116.64 × 65.06
  4. Step 4: Simplify right side
    84.50x = 7,588.60
  5. Step 5: Solve for x
    x = 7,588.60/84.50
  6. Step 6: Final answer
    x = 89.81

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Why These Related Problems?

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