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Finding the Fourth Proportional to 113.92, 157.36 and 101.60

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Solution

The fourth proportional to 113.92, 157.36 and 101.60 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.92 : 157.36 = 101.60 : x
  2. Step 2: Convert to fraction form
    113.92/157.36 = 101.60/x
  3. Step 3: Cross multiply
    113.92x = 157.36 × 101.60
  4. Step 4: Simplify right side
    113.92x = 15,987.78
  5. Step 5: Solve for x
    x = 15,987.78/113.92
  6. Step 6: Final answer
    x = 140.34

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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.