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Finding the Fourth Proportional to 157.68, 236.14 and 89.24

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Solution

The fourth proportional to 157.68, 236.14 and 89.24 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 236.14 = 89.24 : x
  2. Step 2: Convert to fraction form
    157.68/236.14 = 89.24/x
  3. Step 3: Cross multiply
    157.68x = 236.14 × 89.24
  4. Step 4: Simplify right side
    157.68x = 21,073.13
  5. Step 5: Solve for x
    x = 21,073.13/157.68
  6. Step 6: Final answer
    x = 133.64

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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.