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Finding the Fourth Proportional to 157.88, 217.76 and 102.59

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Solution

The fourth proportional to 157.88, 217.76 and 102.59 is: 141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 217.76 = 102.59 : x
  2. Step 2: Convert to fraction form
    157.88/217.76 = 102.59/x
  3. Step 3: Cross multiply
    157.88x = 217.76 × 102.59
  4. Step 4: Simplify right side
    157.88x = 22,338.40
  5. Step 5: Solve for x
    x = 22,338.40/157.88
  6. Step 6: Final answer
    x = 141.49

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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.