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Finding the Fourth Proportional to 187.74, 259.05 and 110.13

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Solution

The fourth proportional to 187.74, 259.05 and 110.13 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 259.05 = 110.13 : x
  2. Step 2: Convert to fraction form
    187.74/259.05 = 110.13/x
  3. Step 3: Cross multiply
    187.74x = 259.05 × 110.13
  4. Step 4: Simplify right side
    187.74x = 28,529.18
  5. Step 5: Solve for x
    x = 28,529.18/187.74
  6. Step 6: Final answer
    x = 151.96

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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.