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Finding the Fourth Proportional to 192.45, 265.59 and 105.13

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Solution

The fourth proportional to 192.45, 265.59 and 105.13 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.45 : 265.59 = 105.13 : x
  2. Step 2: Convert to fraction form
    192.45/265.59 = 105.13/x
  3. Step 3: Cross multiply
    192.45x = 265.59 × 105.13
  4. Step 4: Simplify right side
    192.45x = 27,921.48
  5. Step 5: Solve for x
    x = 27,921.48/192.45
  6. Step 6: Final answer
    x = 145.08

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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.