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Finding the Fourth Proportional to 157.27, 217.08 and 99.10

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Solution

The fourth proportional to 157.27, 217.08 and 99.10 is: 136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.27 : 217.08 = 99.10 : x
  2. Step 2: Convert to fraction form
    157.27/217.08 = 99.10/x
  3. Step 3: Cross multiply
    157.27x = 217.08 × 99.10
  4. Step 4: Simplify right side
    157.27x = 21,512.63
  5. Step 5: Solve for x
    x = 21,512.63/157.27
  6. Step 6: Final answer
    x = 136.79

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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.