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Finding the Fourth Proportional to 78.40, 117.24 and 77.36

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Solution

The fourth proportional to 78.40, 117.24 and 77.36 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.40 : 117.24 = 77.36 : x
  2. Step 2: Convert to fraction form
    78.40/117.24 = 77.36/x
  3. Step 3: Cross multiply
    78.40x = 117.24 × 77.36
  4. Step 4: Simplify right side
    78.40x = 9,069.69
  5. Step 5: Solve for x
    x = 9,069.69/78.40
  6. Step 6: Final answer
    x = 115.68

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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.