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Finding the Fourth Proportional to 157.14, 235.74 and 96.24

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Solution

The fourth proportional to 157.14, 235.74 and 96.24 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 235.74 = 96.24 : x
  2. Step 2: Convert to fraction form
    157.14/235.74 = 96.24/x
  3. Step 3: Cross multiply
    157.14x = 235.74 × 96.24
  4. Step 4: Simplify right side
    157.14x = 22,687.62
  5. Step 5: Solve for x
    x = 22,687.62/157.14
  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.