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Finding the Fourth Proportional to 157.17, 217.01 and 117.87

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Solution

The fourth proportional to 157.17, 217.01 and 117.87 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 217.01 = 117.87 : x
  2. Step 2: Convert to fraction form
    157.17/217.01 = 117.87/x
  3. Step 3: Cross multiply
    157.17x = 217.01 × 117.87
  4. Step 4: Simplify right side
    157.17x = 25,579.67
  5. Step 5: Solve for x
    x = 25,579.67/157.17
  6. Step 6: Final answer
    x = 162.75

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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.