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Finding the Fourth Proportional to 157.27, 236.01 and 106.01

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Solution

The fourth proportional to 157.27, 236.01 and 106.01 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.27 : 236.01 = 106.01 : x
  2. Step 2: Convert to fraction form
    157.27/236.01 = 106.01/x
  3. Step 3: Cross multiply
    157.27x = 236.01 × 106.01
  4. Step 4: Simplify right side
    157.27x = 25,019.52
  5. Step 5: Solve for x
    x = 25,019.52/157.27
  6. Step 6: Final answer
    x = 159.09

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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.