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Finding the Fourth Proportional to 78.54, 117 and 77.76

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Solution

The fourth proportional to 78.54, 117 and 77.76 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.54 : 117 = 77.76 : x
  2. Step 2: Convert to fraction form
    78.54/117 = 77.76/x
  3. Step 3: Cross multiply
    78.54x = 117 × 77.76
  4. Step 4: Simplify right side
    78.54x = 9,097.92
  5. Step 5: Solve for x
    x = 9,097.92/78.54
  6. Step 6: Final answer
    x = 115.84

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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.