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Finding the Fourth Proportional to 105.86, 157.95 and 103.53

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Solution

The fourth proportional to 105.86, 157.95 and 103.53 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 157.95 = 103.53 : x
  2. Step 2: Convert to fraction form
    105.86/157.95 = 103.53/x
  3. Step 3: Cross multiply
    105.86x = 157.95 × 103.53
  4. Step 4: Simplify right side
    105.86x = 16,352.27
  5. Step 5: Solve for x
    x = 16,352.27/105.86
  6. Step 6: Final answer
    x = 154.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.