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Finding the Fourth Proportional to 157.07, 235.61 and 92.52

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Solution

The fourth proportional to 157.07, 235.61 and 92.52 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.07 : 235.61 = 92.52 : x
  2. Step 2: Convert to fraction form
    157.07/235.61 = 92.52/x
  3. Step 3: Cross multiply
    157.07x = 235.61 × 92.52
  4. Step 4: Simplify right side
    157.07x = 21,799.49
  5. Step 5: Solve for x
    x = 21,799.49/157.07
  6. Step 6: Final answer
    x = 138.78

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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.