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Finding the Fourth Proportional to 170.77, 235.24 and 135.79

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Solution

The fourth proportional to 170.77, 235.24 and 135.79 is: 187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.77 : 235.24 = 135.79 : x
  2. Step 2: Convert to fraction form
    170.77/235.24 = 135.79/x
  3. Step 3: Cross multiply
    170.77x = 235.24 × 135.79
  4. Step 4: Simplify right side
    170.77x = 31,941.38
  5. Step 5: Solve for x
    x = 31,941.38/170.77
  6. Step 6: Final answer
    x = 187.05

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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.