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Finding the Fourth Proportional to 170.95, 235.87 and 105.49

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Solution

The fourth proportional to 170.95, 235.87 and 105.49 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.95 : 235.87 = 105.49 : x
  2. Step 2: Convert to fraction form
    170.95/235.87 = 105.49/x
  3. Step 3: Cross multiply
    170.95x = 235.87 × 105.49
  4. Step 4: Simplify right side
    170.95x = 24,881.93
  5. Step 5: Solve for x
    x = 24,881.93/170.95
  6. Step 6: Final answer
    x = 145.55

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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.