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Finding the Fourth Proportional to 157.33, 235.81 and 96.33

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Solution

The fourth proportional to 157.33, 235.81 and 96.33 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.33 : 235.81 = 96.33 : x
  2. Step 2: Convert to fraction form
    157.33/235.81 = 96.33/x
  3. Step 3: Cross multiply
    157.33x = 235.81 × 96.33
  4. Step 4: Simplify right side
    157.33x = 22,715.58
  5. Step 5: Solve for x
    x = 22,715.58/157.33
  6. Step 6: Final answer
    x = 144.38

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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.