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Finding the Fourth Proportional to 84.34, 116.46 and 65.02

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Solution

The fourth proportional to 84.34, 116.46 and 65.02 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.34 : 116.46 = 65.02 : x
  2. Step 2: Convert to fraction form
    84.34/116.46 = 65.02/x
  3. Step 3: Cross multiply
    84.34x = 116.46 × 65.02
  4. Step 4: Simplify right side
    84.34x = 7,572.23
  5. Step 5: Solve for x
    x = 7,572.23/84.34
  6. Step 6: Final answer
    x = 89.78

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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.