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Finding the Fourth Proportional to 157.46, 217.30 and 87.52

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Solution

The fourth proportional to 157.46, 217.30 and 87.52 is: 120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.46 : 217.30 = 87.52 : x
  2. Step 2: Convert to fraction form
    157.46/217.30 = 87.52/x
  3. Step 3: Cross multiply
    157.46x = 217.30 × 87.52
  4. Step 4: Simplify right side
    157.46x = 19,018.11
  5. Step 5: Solve for x
    x = 19,018.11/157.46
  6. Step 6: Final answer
    x = 120.78

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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.