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Finding the Fourth Proportional to 84.82, 117 and 53.74

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Solution

The fourth proportional to 84.82, 117 and 53.74 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 117 = 53.74 : x
  2. Step 2: Convert to fraction form
    84.82/117 = 53.74/x
  3. Step 3: Cross multiply
    84.82x = 117 × 53.74
  4. Step 4: Simplify right side
    84.82x = 6,287.58
  5. Step 5: Solve for x
    x = 6,287.58/84.82
  6. Step 6: Final answer
    x = 74.13

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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.