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Finding the Fourth Proportional to 170.33, 235.06 and 100.40

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Solution

The fourth proportional to 170.33, 235.06 and 100.40 is: 138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.33 : 235.06 = 100.40 : x
  2. Step 2: Convert to fraction form
    170.33/235.06 = 100.40/x
  3. Step 3: Cross multiply
    170.33x = 235.06 × 100.40
  4. Step 4: Simplify right side
    170.33x = 23,600.02
  5. Step 5: Solve for x
    x = 23,600.02/170.33
  6. Step 6: Final answer
    x = 138.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.