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Finding the Fourth Proportional to 157.85, 217.74 and 102.57

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Solution

The fourth proportional to 157.85, 217.74 and 102.57 is: 141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.85 : 217.74 = 102.57 : x
  2. Step 2: Convert to fraction form
    157.85/217.74 = 102.57/x
  3. Step 3: Cross multiply
    157.85x = 217.74 × 102.57
  4. Step 4: Simplify right side
    157.85x = 22,332.58
  5. Step 5: Solve for x
    x = 22,332.58/157.85
  6. Step 6: Final answer
    x = 141.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.