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Finding the Fourth Proportional to 188.05, 259.50 and 105.13

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Solution

The fourth proportional to 188.05, 259.50 and 105.13 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.05 : 259.50 = 105.13 : x
  2. Step 2: Convert to fraction form
    188.05/259.50 = 105.13/x
  3. Step 3: Cross multiply
    188.05x = 259.50 × 105.13
  4. Step 4: Simplify right side
    188.05x = 27,281.24
  5. Step 5: Solve for x
    x = 27,281.24/188.05
  6. Step 6: Final answer
    x = 145.07

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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.