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Finding the Fourth Proportional to 193.10, 266.47 and 105.77

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Solution

The fourth proportional to 193.10, 266.47 and 105.77 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 266.47 = 105.77 : x
  2. Step 2: Convert to fraction form
    193.10/266.47 = 105.77/x
  3. Step 3: Cross multiply
    193.10x = 266.47 × 105.77
  4. Step 4: Simplify right side
    193.10x = 28,184.53
  5. Step 5: Solve for x
    x = 28,184.53/193.10
  6. Step 6: Final answer
    x = 145.96

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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.