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Finding the Fourth Proportional to 116.23, 174.34 and 52.10

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Solution

The fourth proportional to 116.23, 174.34 and 52.10 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 174.34 = 52.10 : x
  2. Step 2: Convert to fraction form
    116.23/174.34 = 52.10/x
  3. Step 3: Cross multiply
    116.23x = 174.34 × 52.10
  4. Step 4: Simplify right side
    116.23x = 9,083.38
  5. Step 5: Solve for x
    x = 9,083.38/116.23
  6. Step 6: Final answer
    x = 78.15

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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.