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Finding the Fourth Proportional to 78.65, 108.53 and 50.97

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Solution

The fourth proportional to 78.65, 108.53 and 50.97 is: 70.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.65 : 108.53 = 50.97 : x
  2. Step 2: Convert to fraction form
    78.65/108.53 = 50.97/x
  3. Step 3: Cross multiply
    78.65x = 108.53 × 50.97
  4. Step 4: Simplify right side
    78.65x = 5,531.77
  5. Step 5: Solve for x
    x = 5,531.77/78.65
  6. Step 6: Final answer
    x = 70.33

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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.