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Finding the Fourth Proportional to 188.14, 259.59 and 105.24

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Solution

The fourth proportional to 188.14, 259.59 and 105.24 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 259.59 = 105.24 : x
  2. Step 2: Convert to fraction form
    188.14/259.59 = 105.24/x
  3. Step 3: Cross multiply
    188.14x = 259.59 × 105.24
  4. Step 4: Simplify right side
    188.14x = 27,319.89
  5. Step 5: Solve for x
    x = 27,319.89/188.14
  6. Step 6: Final answer
    x = 145.21

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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.