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Finding the Fourth Proportional to 157.45, 217.06 and 110.68

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Solution

The fourth proportional to 157.45, 217.06 and 110.68 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.45 : 217.06 = 110.68 : x
  2. Step 2: Convert to fraction form
    157.45/217.06 = 110.68/x
  3. Step 3: Cross multiply
    157.45x = 217.06 × 110.68
  4. Step 4: Simplify right side
    157.45x = 24,024.20
  5. Step 5: Solve for x
    x = 24,024.20/157.45
  6. Step 6: Final answer
    x = 152.58

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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.