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Finding the Fourth Proportional to 170.68, 235.64 and 112.56

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Solution

The fourth proportional to 170.68, 235.64 and 112.56 is: 155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.68 : 235.64 = 112.56 : x
  2. Step 2: Convert to fraction form
    170.68/235.64 = 112.56/x
  3. Step 3: Cross multiply
    170.68x = 235.64 × 112.56
  4. Step 4: Simplify right side
    170.68x = 26,523.64
  5. Step 5: Solve for x
    x = 26,523.64/170.68
  6. Step 6: Final answer
    x = 155.40

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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.