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Finding the Fourth Proportional to 116.14, 174.39 and 97.06

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Solution

The fourth proportional to 116.14, 174.39 and 97.06 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 174.39 = 97.06 : x
  2. Step 2: Convert to fraction form
    116.14/174.39 = 97.06/x
  3. Step 3: Cross multiply
    116.14x = 174.39 × 97.06
  4. Step 4: Simplify right side
    116.14x = 16,926.29
  5. Step 5: Solve for x
    x = 16,926.29/116.14
  6. Step 6: Final answer
    x = 145.74

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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.