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Finding the Fourth Proportional to 157.60, 217.36 and 99.40

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Solution

The fourth proportional to 157.60, 217.36 and 99.40 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 217.36 = 99.40 : x
  2. Step 2: Convert to fraction form
    157.60/217.36 = 99.40/x
  3. Step 3: Cross multiply
    157.60x = 217.36 × 99.40
  4. Step 4: Simplify right side
    157.60x = 21,605.58
  5. Step 5: Solve for x
    x = 21,605.58/157.60
  6. Step 6: Final answer
    x = 137.09

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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.