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Finding the Fourth Proportional to 84.62, 116.64 and 62.45

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Solution

The fourth proportional to 84.62, 116.64 and 62.45 is: 86.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.62 : 116.64 = 62.45 : x
  2. Step 2: Convert to fraction form
    84.62/116.64 = 62.45/x
  3. Step 3: Cross multiply
    84.62x = 116.64 × 62.45
  4. Step 4: Simplify right side
    84.62x = 7,283.58
  5. Step 5: Solve for x
    x = 7,283.58/84.62
  6. Step 6: Final answer
    x = 86.07

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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.