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Finding the Fourth Proportional to 78.83, 118.25 and 21.05

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Solution

The fourth proportional to 78.83, 118.25 and 21.05 is: 31.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.83 : 118.25 = 21.05 : x
  2. Step 2: Convert to fraction form
    78.83/118.25 = 21.05/x
  3. Step 3: Cross multiply
    78.83x = 118.25 × 21.05
  4. Step 4: Simplify right side
    78.83x = 2,489.06
  5. Step 5: Solve for x
    x = 2,489.06/78.83
  6. Step 6: Final answer
    x = 31.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.