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Finding the Fourth Proportional to 157.51, 236.09 and 76.24

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Solution

The fourth proportional to 157.51, 236.09 and 76.24 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.51 : 236.09 = 76.24 : x
  2. Step 2: Convert to fraction form
    157.51/236.09 = 76.24/x
  3. Step 3: Cross multiply
    157.51x = 236.09 × 76.24
  4. Step 4: Simplify right side
    157.51x = 17,998.32
  5. Step 5: Solve for x
    x = 17,998.32/157.51
  6. Step 6: Final answer
    x = 114.27

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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.