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Finding the Fourth Proportional to 113.78, 157.24 and 86.13

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Solution

The fourth proportional to 113.78, 157.24 and 86.13 is: 119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 157.24 = 86.13 : x
  2. Step 2: Convert to fraction form
    113.78/157.24 = 86.13/x
  3. Step 3: Cross multiply
    113.78x = 157.24 × 86.13
  4. Step 4: Simplify right side
    113.78x = 13,543.08
  5. Step 5: Solve for x
    x = 13,543.08/113.78
  6. Step 6: Final answer
    x = 119.03

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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.