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Finding the Fourth Proportional to 84.36, 116.40 and 65.04

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Solution

The fourth proportional to 84.36, 116.40 and 65.04 is: 89.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.36 : 116.40 = 65.04 : x
  2. Step 2: Convert to fraction form
    84.36/116.40 = 65.04/x
  3. Step 3: Cross multiply
    84.36x = 116.40 × 65.04
  4. Step 4: Simplify right side
    84.36x = 7,570.66
  5. Step 5: Solve for x
    x = 7,570.66/84.36
  6. Step 6: Final answer
    x = 89.74

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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.