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Finding the Fourth Proportional to 170.96, 235.89 and 101.03

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Solution

The fourth proportional to 170.96, 235.89 and 101.03 is: 139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 235.89 = 101.03 : x
  2. Step 2: Convert to fraction form
    170.96/235.89 = 101.03/x
  3. Step 3: Cross multiply
    170.96x = 235.89 × 101.03
  4. Step 4: Simplify right side
    170.96x = 23,831.47
  5. Step 5: Solve for x
    x = 23,831.47/170.96
  6. Step 6: Final answer
    x = 139.39

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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.