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Finding the Fourth Proportional to 116.38, 174.63 and 51.42

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Solution

The fourth proportional to 116.38, 174.63 and 51.42 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 174.63 = 51.42 : x
  2. Step 2: Convert to fraction form
    116.38/174.63 = 51.42/x
  3. Step 3: Cross multiply
    116.38x = 174.63 × 51.42
  4. Step 4: Simplify right side
    116.38x = 8,979.22
  5. Step 5: Solve for x
    x = 8,979.22/116.38
  6. Step 6: Final answer
    x = 77.16

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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.