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Finding the Fourth Proportional to 157.40, 217.22 and 95.25

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Solution

The fourth proportional to 157.40, 217.22 and 95.25 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 217.22 = 95.25 : x
  2. Step 2: Convert to fraction form
    157.40/217.22 = 95.25/x
  3. Step 3: Cross multiply
    157.40x = 217.22 × 95.25
  4. Step 4: Simplify right side
    157.40x = 20,689.73
  5. Step 5: Solve for x
    x = 20,689.73/157.40
  6. Step 6: Final answer
    x = 131.45

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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.