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Finding the Fourth Proportional to 192.95, 266.29 and 105.63

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Solution

The fourth proportional to 192.95, 266.29 and 105.63 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.95 : 266.29 = 105.63 : x
  2. Step 2: Convert to fraction form
    192.95/266.29 = 105.63/x
  3. Step 3: Cross multiply
    192.95x = 266.29 × 105.63
  4. Step 4: Simplify right side
    192.95x = 28,126.35
  5. Step 5: Solve for x
    x = 28,126.35/192.95
  6. Step 6: Final answer
    x = 145.77

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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.