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Finding the Fourth Proportional to 78.22, 117.21 and 65.38

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Solution

The fourth proportional to 78.22, 117.21 and 65.38 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.22 : 117.21 = 65.38 : x
  2. Step 2: Convert to fraction form
    78.22/117.21 = 65.38/x
  3. Step 3: Cross multiply
    78.22x = 117.21 × 65.38
  4. Step 4: Simplify right side
    78.22x = 7,663.19
  5. Step 5: Solve for x
    x = 7,663.19/78.22
  6. Step 6: Final answer
    x = 97.97

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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.