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Finding the Fourth Proportional to 157.87, 236.47 and 96.82

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Solution

The fourth proportional to 157.87, 236.47 and 96.82 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.87 : 236.47 = 96.82 : x
  2. Step 2: Convert to fraction form
    157.87/236.47 = 96.82/x
  3. Step 3: Cross multiply
    157.87x = 236.47 × 96.82
  4. Step 4: Simplify right side
    157.87x = 22,895.04
  5. Step 5: Solve for x
    x = 22,895.04/157.87
  6. Step 6: Final answer
    x = 145.02

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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.