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Finding the Fourth Proportional to 116.14, 174.29 and 52.02

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Solution

The fourth proportional to 116.14, 174.29 and 52.02 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 174.29 = 52.02 : x
  2. Step 2: Convert to fraction form
    116.14/174.29 = 52.02/x
  3. Step 3: Cross multiply
    116.14x = 174.29 × 52.02
  4. Step 4: Simplify right side
    116.14x = 9,066.57
  5. Step 5: Solve for x
    x = 9,066.57/116.14
  6. Step 6: Final answer
    x = 78.07

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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.