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Finding the Fourth Proportional to 84.83, 117.14 and 52.13

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Solution

The fourth proportional to 84.83, 117.14 and 52.13 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.83 : 117.14 = 52.13 : x
  2. Step 2: Convert to fraction form
    84.83/117.14 = 52.13/x
  3. Step 3: Cross multiply
    84.83x = 117.14 × 52.13
  4. Step 4: Simplify right side
    84.83x = 6,106.54
  5. Step 5: Solve for x
    x = 6,106.54/84.83
  6. Step 6: Final answer
    x = 71.99

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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.