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Finding the Fourth Proportional to 78.68, 117.30 and 77.30

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Solution

The fourth proportional to 78.68, 117.30 and 77.30 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 117.30 = 77.30 : x
  2. Step 2: Convert to fraction form
    78.68/117.30 = 77.30/x
  3. Step 3: Cross multiply
    78.68x = 117.30 × 77.30
  4. Step 4: Simplify right side
    78.68x = 9,067.29
  5. Step 5: Solve for x
    x = 9,067.29/78.68
  6. Step 6: Final answer
    x = 115.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.