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Finding the Fourth Proportional to 157.16, 235.64 and 75.92

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Solution

The fourth proportional to 157.16, 235.64 and 75.92 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.16 : 235.64 = 75.92 : x
  2. Step 2: Convert to fraction form
    157.16/235.64 = 75.92/x
  3. Step 3: Cross multiply
    157.16x = 235.64 × 75.92
  4. Step 4: Simplify right side
    157.16x = 17,889.79
  5. Step 5: Solve for x
    x = 17,889.79/157.16
  6. Step 6: Final answer
    x = 113.83

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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.