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Finding the Fourth Proportional to 157.84, 217.71 and 95.65

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Solution

The fourth proportional to 157.84, 217.71 and 95.65 is: 131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.71 = 95.65 : x
  2. Step 2: Convert to fraction form
    157.84/217.71 = 95.65/x
  3. Step 3: Cross multiply
    157.84x = 217.71 × 95.65
  4. Step 4: Simplify right side
    157.84x = 20,823.96
  5. Step 5: Solve for x
    x = 20,823.96/157.84
  6. Step 6: Final answer
    x = 131.93

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