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Finding the Fourth Proportional to 170.51, 235.08 and 123.84

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Solution

The fourth proportional to 170.51, 235.08 and 123.84 is: 170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.51 : 235.08 = 123.84 : x
  2. Step 2: Convert to fraction form
    170.51/235.08 = 123.84/x
  3. Step 3: Cross multiply
    170.51x = 235.08 × 123.84
  4. Step 4: Simplify right side
    170.51x = 29,112.31
  5. Step 5: Solve for x
    x = 29,112.31/170.51
  6. Step 6: Final answer
    x = 170.74

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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.