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Finding the Fourth Proportional to 192.41, 265.52 and 105.08

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Solution

The fourth proportional to 192.41, 265.52 and 105.08 is: 145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 265.52 = 105.08 : x
  2. Step 2: Convert to fraction form
    192.41/265.52 = 105.08/x
  3. Step 3: Cross multiply
    192.41x = 265.52 × 105.08
  4. Step 4: Simplify right side
    192.41x = 27,900.84
  5. Step 5: Solve for x
    x = 27,900.84/192.41
  6. Step 6: Final answer
    x = 145.01

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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.