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Finding the Fourth Proportional to 113.96, 157.24 and 84.80

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Solution

The fourth proportional to 113.96, 157.24 and 84.80 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.96 : 157.24 = 84.80 : x
  2. Step 2: Convert to fraction form
    113.96/157.24 = 84.80/x
  3. Step 3: Cross multiply
    113.96x = 157.24 × 84.80
  4. Step 4: Simplify right side
    113.96x = 13,333.95
  5. Step 5: Solve for x
    x = 13,333.95/113.96
  6. Step 6: Final answer
    x = 117.01

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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.