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Finding the Fourth Proportional to 158.82, 237.96 and 113.10

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Solution

The fourth proportional to 158.82, 237.96 and 113.10 is: 169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 237.96 = 113.10 : x
  2. Step 2: Convert to fraction form
    158.82/237.96 = 113.10/x
  3. Step 3: Cross multiply
    158.82x = 237.96 × 113.10
  4. Step 4: Simplify right side
    158.82x = 26,913.28
  5. Step 5: Solve for x
    x = 26,913.28/158.82
  6. Step 6: Final answer
    x = 169.46

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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.