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Finding the Fourth Proportional to 187.96, 259.39 and 105.07

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Solution

The fourth proportional to 187.96, 259.39 and 105.07 is: 145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.96 : 259.39 = 105.07 : x
  2. Step 2: Convert to fraction form
    187.96/259.39 = 105.07/x
  3. Step 3: Cross multiply
    187.96x = 259.39 × 105.07
  4. Step 4: Simplify right side
    187.96x = 27,254.11
  5. Step 5: Solve for x
    x = 27,254.11/187.96
  6. Step 6: Final answer
    x = 145.00

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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.