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Finding the Fourth Proportional to 103.86, 143.01 and 85.38

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Solution

The fourth proportional to 103.86, 143.01 and 85.38 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 143.01 = 85.38 : x
  2. Step 2: Convert to fraction form
    103.86/143.01 = 85.38/x
  3. Step 3: Cross multiply
    103.86x = 143.01 × 85.38
  4. Step 4: Simplify right side
    103.86x = 12,210.19
  5. Step 5: Solve for x
    x = 12,210.19/103.86
  6. Step 6: Final answer
    x = 117.56

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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.