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Finding the Fourth Proportional to 109.86, 164.55 and 64.07

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Solution

The fourth proportional to 109.86, 164.55 and 64.07 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 164.55 = 64.07 : x
  2. Step 2: Convert to fraction form
    109.86/164.55 = 64.07/x
  3. Step 3: Cross multiply
    109.86x = 164.55 × 64.07
  4. Step 4: Simplify right side
    109.86x = 10,541.90
  5. Step 5: Solve for x
    x = 10,541.90/109.86
  6. Step 6: Final answer
    x = 95.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.