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Finding the Fourth Proportional to 109.86, 151.64 and 68.46

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Solution

The fourth proportional to 109.86, 151.64 and 68.46 is: 94.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 151.64 = 68.46 : x
  2. Step 2: Convert to fraction form
    109.86/151.64 = 68.46/x
  3. Step 3: Cross multiply
    109.86x = 151.64 × 68.46
  4. Step 4: Simplify right side
    109.86x = 10,381.27
  5. Step 5: Solve for x
    x = 10,381.27/109.86
  6. Step 6: Final answer
    x = 94.50

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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.