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Finding the Fourth Proportional to 84.90, 117.22 and 53.83

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Solution

The fourth proportional to 84.90, 117.22 and 53.83 is: 74.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 117.22 = 53.83 : x
  2. Step 2: Convert to fraction form
    84.90/117.22 = 53.83/x
  3. Step 3: Cross multiply
    84.90x = 117.22 × 53.83
  4. Step 4: Simplify right side
    84.90x = 6,309.95
  5. Step 5: Solve for x
    x = 6,309.95/84.90
  6. Step 6: Final answer
    x = 74.32

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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.