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Finding the Fourth Proportional to 170.86, 235.90 and 105.46

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Solution

The fourth proportional to 170.86, 235.90 and 105.46 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 235.90 = 105.46 : x
  2. Step 2: Convert to fraction form
    170.86/235.90 = 105.46/x
  3. Step 3: Cross multiply
    170.86x = 235.90 × 105.46
  4. Step 4: Simplify right side
    170.86x = 24,878.01
  5. Step 5: Solve for x
    x = 24,878.01/170.86
  6. Step 6: Final answer
    x = 145.60

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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.