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Finding the Fourth Proportional to 157.32, 217.06 and 95.16

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Solution

The fourth proportional to 157.32, 217.06 and 95.16 is: 131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 217.06 = 95.16 : x
  2. Step 2: Convert to fraction form
    157.32/217.06 = 95.16/x
  3. Step 3: Cross multiply
    157.32x = 217.06 × 95.16
  4. Step 4: Simplify right side
    157.32x = 20,655.43
  5. Step 5: Solve for x
    x = 20,655.43/157.32
  6. Step 6: Final answer
    x = 131.30

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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.