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Finding the Fourth Proportional to 157.17, 217.10 and 120.77

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Solution

The fourth proportional to 157.17, 217.10 and 120.77 is: 166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 217.10 = 120.77 : x
  2. Step 2: Convert to fraction form
    157.17/217.10 = 120.77/x
  3. Step 3: Cross multiply
    157.17x = 217.10 × 120.77
  4. Step 4: Simplify right side
    157.17x = 26,219.74
  5. Step 5: Solve for x
    x = 26,219.74/157.17
  6. Step 6: Final answer
    x = 166.82

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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.