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Finding the Fourth Proportional to 116.78, 175.14 and 52.64

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Solution

The fourth proportional to 116.78, 175.14 and 52.64 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 175.14 = 52.64 : x
  2. Step 2: Convert to fraction form
    116.78/175.14 = 52.64/x
  3. Step 3: Cross multiply
    116.78x = 175.14 × 52.64
  4. Step 4: Simplify right side
    116.78x = 9,219.37
  5. Step 5: Solve for x
    x = 9,219.37/116.78
  6. Step 6: Final answer
    x = 78.95

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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.