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Finding the Fourth Proportional to 116.63, 175.01 and 52.50

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Solution

The fourth proportional to 116.63, 175.01 and 52.50 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 175.01 = 52.50 : x
  2. Step 2: Convert to fraction form
    116.63/175.01 = 52.50/x
  3. Step 3: Cross multiply
    116.63x = 175.01 × 52.50
  4. Step 4: Simplify right side
    116.63x = 9,188.03
  5. Step 5: Solve for x
    x = 9,188.03/116.63
  6. Step 6: Final answer
    x = 78.78

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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.