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Finding the Fourth Proportional to 187.74, 259.17 and 113.09

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Solution

The fourth proportional to 187.74, 259.17 and 113.09 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 259.17 = 113.09 : x
  2. Step 2: Convert to fraction form
    187.74/259.17 = 113.09/x
  3. Step 3: Cross multiply
    187.74x = 259.17 × 113.09
  4. Step 4: Simplify right side
    187.74x = 29,307.82
  5. Step 5: Solve for x
    x = 29,307.82/187.74
  6. Step 6: Final answer
    x = 156.11

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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.