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Finding the Fourth Proportional to 116.78, 175.23 and 71.24

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Solution

The fourth proportional to 116.78, 175.23 and 71.24 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 175.23 = 71.24 : x
  2. Step 2: Convert to fraction form
    116.78/175.23 = 71.24/x
  3. Step 3: Cross multiply
    116.78x = 175.23 × 71.24
  4. Step 4: Simplify right side
    116.78x = 12,483.39
  5. Step 5: Solve for x
    x = 12,483.39/116.78
  6. Step 6: Final answer
    x = 106.90

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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.