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Finding the Fourth Proportional to 192.47, 265.62 and 105.15

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Solution

The fourth proportional to 192.47, 265.62 and 105.15 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.47 : 265.62 = 105.15 : x
  2. Step 2: Convert to fraction form
    192.47/265.62 = 105.15/x
  3. Step 3: Cross multiply
    192.47x = 265.62 × 105.15
  4. Step 4: Simplify right side
    192.47x = 27,929.94
  5. Step 5: Solve for x
    x = 27,929.94/192.47
  6. Step 6: Final answer
    x = 145.12

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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.