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Finding the Fourth Proportional to 78.23, 117.16 and 55.31

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Solution

The fourth proportional to 78.23, 117.16 and 55.31 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 117.16 = 55.31 : x
  2. Step 2: Convert to fraction form
    78.23/117.16 = 55.31/x
  3. Step 3: Cross multiply
    78.23x = 117.16 × 55.31
  4. Step 4: Simplify right side
    78.23x = 6,480.12
  5. Step 5: Solve for x
    x = 6,480.12/78.23
  6. Step 6: Final answer
    x = 82.83

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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.