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Finding the Fourth Proportional to 113.60, 157.20 and 98.30

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Solution

The fourth proportional to 113.60, 157.20 and 98.30 is: 136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 157.20 = 98.30 : x
  2. Step 2: Convert to fraction form
    113.60/157.20 = 98.30/x
  3. Step 3: Cross multiply
    113.60x = 157.20 × 98.30
  4. Step 4: Simplify right side
    113.60x = 15,452.76
  5. Step 5: Solve for x
    x = 15,452.76/113.60
  6. Step 6: Final answer
    x = 136.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.